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Finding the Fourth Proportional to 24,854.72, 37,280.86 and 9,271.13

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Solution

The fourth proportional to 24,854.72, 37,280.86 and 9,271.13 is: 13,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.72 : 37,280.86 = 9,271.13 : x
  2. Step 2: Convert to fraction form
    24,854.72/37,280.86 = 9,271.13/x
  3. Step 3: Cross multiply
    24,854.72x = 37,280.86 × 9,271.13
  4. Step 4: Simplify right side
    24,854.72x = 345,635,489.99
  5. Step 5: Solve for x
    x = 345,635,489.99/24,854.72
  6. Step 6: Final answer
    x = 13,906.23

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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.