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Finding the Fourth Proportional to 24,854.70, 37,294.20 and 11,704.80

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Solution

The fourth proportional to 24,854.70, 37,294.20 and 11,704.80 is: 17,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.70 : 37,294.20 = 11,704.80 : x
  2. Step 2: Convert to fraction form
    24,854.70/37,294.20 = 11,704.80/x
  3. Step 3: Cross multiply
    24,854.70x = 37,294.20 × 11,704.80
  4. Step 4: Simplify right side
    24,854.70x = 436,521,152.16
  5. Step 5: Solve for x
    x = 436,521,152.16/24,854.70
  6. Step 6: Final answer
    x = 17,562.92

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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.