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Finding the Fourth Proportional to 24,287.58, 36,432.86 and 7,648.16

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Solution

The fourth proportional to 24,287.58, 36,432.86 and 7,648.16 is: 11,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.58 : 36,432.86 = 7,648.16 : x
  2. Step 2: Convert to fraction form
    24,287.58/36,432.86 = 7,648.16/x
  3. Step 3: Cross multiply
    24,287.58x = 36,432.86 × 7,648.16
  4. Step 4: Simplify right side
    24,287.58x = 278,644,122.13
  5. Step 5: Solve for x
    x = 278,644,122.13/24,287.58
  6. Step 6: Final answer
    x = 11,472.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.