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Finding the Fourth Proportional to 16,315,097.20, 24,472,645.80 and 7,812,041.20

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Solution

The fourth proportional to 16,315,097.20, 24,472,645.80 and 7,812,041.20 is: 11,718,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315,097.20 : 24,472,645.80 = 7,812,041.20 : x
  2. Step 2: Convert to fraction form
    16,315,097.20/24,472,645.80 = 7,812,041.20/x
  3. Step 3: Cross multiply
    16,315,097.20x = 24,472,645.80 × 7,812,041.20
  4. Step 4: Simplify right side
    16,315,097.20x = 191,181,317,262,606.97
  5. Step 5: Solve for x
    x = 191,181,317,262,606.97/16,315,097.20
  6. Step 6: Final answer
    x = 11,718,061.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.