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Finding the Fourth Proportional to 24,002.70, 36,010.80 and 10,854.78

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Solution

The fourth proportional to 24,002.70, 36,010.80 and 10,854.78 is: 16,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.70 : 36,010.80 = 10,854.78 : x
  2. Step 2: Convert to fraction form
    24,002.70/36,010.80 = 10,854.78/x
  3. Step 3: Cross multiply
    24,002.70x = 36,010.80 × 10,854.78
  4. Step 4: Simplify right side
    24,002.70x = 390,889,311.62
  5. Step 5: Solve for x
    x = 390,889,311.62/24,002.70
  6. Step 6: Final answer
    x = 16,285.22

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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.