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Finding the Fourth Proportional to 23,057.92, 34,543.14 and 13,678.12

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Solution

The fourth proportional to 23,057.92, 34,543.14 and 13,678.12 is: 20,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.92 : 34,543.14 = 13,678.12 : x
  2. Step 2: Convert to fraction form
    23,057.92/34,543.14 = 13,678.12/x
  3. Step 3: Cross multiply
    23,057.92x = 34,543.14 × 13,678.12
  4. Step 4: Simplify right side
    23,057.92x = 472,485,214.10
  5. Step 5: Solve for x
    x = 472,485,214.10/23,057.92
  6. Step 6: Final answer
    x = 20,491.23

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