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Finding the Fourth Proportional to 24,281.92, 36,423.06 and 7,641.28

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Solution

The fourth proportional to 24,281.92, 36,423.06 and 7,641.28 is: 11,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.92 : 36,423.06 = 7,641.28 : x
  2. Step 2: Convert to fraction form
    24,281.92/36,423.06 = 7,641.28/x
  3. Step 3: Cross multiply
    24,281.92x = 36,423.06 × 7,641.28
  4. Step 4: Simplify right side
    24,281.92x = 278,318,799.92
  5. Step 5: Solve for x
    x = 278,318,799.92/24,281.92
  6. Step 6: Final answer
    x = 11,461.98

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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.