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Finding the Fourth Proportional to 24,331.44, 36,468 and 9,531.12

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Solution

The fourth proportional to 24,331.44, 36,468 and 9,531.12 is: 14,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.44 : 36,468 = 9,531.12 : x
  2. Step 2: Convert to fraction form
    24,331.44/36,468 = 9,531.12/x
  3. Step 3: Cross multiply
    24,331.44x = 36,468 × 9,531.12
  4. Step 4: Simplify right side
    24,331.44x = 347,580,884.16
  5. Step 5: Solve for x
    x = 347,580,884.16/24,331.44
  6. Step 6: Final answer
    x = 14,285.26

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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.