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Finding the Fourth Proportional to 17,614.16, 24,305.10 and 10,539.62

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Solution

The fourth proportional to 17,614.16, 24,305.10 and 10,539.62 is: 14,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.16 : 24,305.10 = 10,539.62 : x
  2. Step 2: Convert to fraction form
    17,614.16/24,305.10 = 10,539.62/x
  3. Step 3: Cross multiply
    17,614.16x = 24,305.10 × 10,539.62
  4. Step 4: Simplify right side
    17,614.16x = 256,166,518.06
  5. Step 5: Solve for x
    x = 256,166,518.06/17,614.16
  6. Step 6: Final answer
    x = 14,543.22

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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.