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Finding the Fourth Proportional to 16,125.20, 24,169.80 and 7,809.20

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Solution

The fourth proportional to 16,125.20, 24,169.80 and 7,809.20 is: 11,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.20 : 24,169.80 = 7,809.20 : x
  2. Step 2: Convert to fraction form
    16,125.20/24,169.80 = 7,809.20/x
  3. Step 3: Cross multiply
    16,125.20x = 24,169.80 × 7,809.20
  4. Step 4: Simplify right side
    16,125.20x = 188,746,802.16
  5. Step 5: Solve for x
    x = 188,746,802.16/16,125.20
  6. Step 6: Final answer
    x = 11,705.08

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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.