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Finding the Fourth Proportional to 17,819.30, 24,593.24 and 10,264.16

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Solution

The fourth proportional to 17,819.30, 24,593.24 and 10,264.16 is: 14,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.30 : 24,593.24 = 10,264.16 : x
  2. Step 2: Convert to fraction form
    17,819.30/24,593.24 = 10,264.16/x
  3. Step 3: Cross multiply
    17,819.30x = 24,593.24 × 10,264.16
  4. Step 4: Simplify right side
    17,819.30x = 252,428,898.96
  5. Step 5: Solve for x
    x = 252,428,898.96/17,819.30
  6. Step 6: Final answer
    x = 14,166.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.