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Finding the Fourth Proportional to 24,854.24, 37,287.86 and 9,272

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Solution

The fourth proportional to 24,854.24, 37,287.86 and 9,272 is: 13,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.24 : 37,287.86 = 9,272 : x
  2. Step 2: Convert to fraction form
    24,854.24/37,287.86 = 9,272/x
  3. Step 3: Cross multiply
    24,854.24x = 37,287.86 × 9,272
  4. Step 4: Simplify right side
    24,854.24x = 345,733,037.92
  5. Step 5: Solve for x
    x = 345,733,037.92/24,854.24
  6. Step 6: Final answer
    x = 13,910.42

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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.