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Finding the Fourth Proportional to 16,313.60, 24,470.40 and 5,924

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Solution

The fourth proportional to 16,313.60, 24,470.40 and 5,924 is: 8,886

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.60 : 24,470.40 = 5,924 : x
  2. Step 2: Convert to fraction form
    16,313.60/24,470.40 = 5,924/x
  3. Step 3: Cross multiply
    16,313.60x = 24,470.40 × 5,924
  4. Step 4: Simplify right side
    16,313.60x = 144,962,649.60
  5. Step 5: Solve for x
    x = 144,962,649.60/16,313.60
  6. Step 6: Final answer
    x = 8,886

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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.