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Finding the Fourth Proportional to 25,227.47, 37,841.09 and 7,697.24

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Solution

The fourth proportional to 25,227.47, 37,841.09 and 7,697.24 is: 11,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.47 : 37,841.09 = 7,697.24 : x
  2. Step 2: Convert to fraction form
    25,227.47/37,841.09 = 7,697.24/x
  3. Step 3: Cross multiply
    25,227.47x = 37,841.09 × 7,697.24
  4. Step 4: Simplify right side
    25,227.47x = 291,271,723.90
  5. Step 5: Solve for x
    x = 291,271,723.90/25,227.47
  6. Step 6: Final answer
    x = 11,545.82

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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.