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Finding the Fourth Proportional to 24,283.38, 36,425.16 and 7,644.72

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Solution

The fourth proportional to 24,283.38, 36,425.16 and 7,644.72 is: 11,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283.38 : 36,425.16 = 7,644.72 : x
  2. Step 2: Convert to fraction form
    24,283.38/36,425.16 = 7,644.72/x
  3. Step 3: Cross multiply
    24,283.38x = 36,425.16 × 7,644.72
  4. Step 4: Simplify right side
    24,283.38x = 278,460,149.16
  5. Step 5: Solve for x
    x = 278,460,149.16/24,283.38
  6. Step 6: Final answer
    x = 11,467.11

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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.