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Finding the Fourth Proportional to 23,053.68, 34,581.20 and 9,013.14

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Solution

The fourth proportional to 23,053.68, 34,581.20 and 9,013.14 is: 13,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.68 : 34,581.20 = 9,013.14 : x
  2. Step 2: Convert to fraction form
    23,053.68/34,581.20 = 9,013.14/x
  3. Step 3: Cross multiply
    23,053.68x = 34,581.20 × 9,013.14
  4. Step 4: Simplify right side
    23,053.68x = 311,685,151.90
  5. Step 5: Solve for x
    x = 311,685,151.90/23,053.68
  6. Step 6: Final answer
    x = 13,519.97

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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.