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Finding the Fourth Proportional to 24,854.96, 37,282.16 and 10,059.86

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Solution

The fourth proportional to 24,854.96, 37,282.16 and 10,059.86 is: 15,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.96 : 37,282.16 = 10,059.86 : x
  2. Step 2: Convert to fraction form
    24,854.96/37,282.16 = 10,059.86/x
  3. Step 3: Cross multiply
    24,854.96x = 37,282.16 × 10,059.86
  4. Step 4: Simplify right side
    24,854.96x = 375,053,310.10
  5. Step 5: Solve for x
    x = 375,053,310.10/24,854.96
  6. Step 6: Final answer
    x = 15,089.68

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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.