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Finding the Fourth Proportional to 24,340.31, 36,496.48 and 9,531.89

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Solution

The fourth proportional to 24,340.31, 36,496.48 and 9,531.89 is: 14,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.31 : 36,496.48 = 9,531.89 : x
  2. Step 2: Convert to fraction form
    24,340.31/36,496.48 = 9,531.89/x
  3. Step 3: Cross multiply
    24,340.31x = 36,496.48 × 9,531.89
  4. Step 4: Simplify right side
    24,340.31x = 347,880,432.75
  5. Step 5: Solve for x
    x = 347,880,432.75/24,340.31
  6. Step 6: Final answer
    x = 14,292.36

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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.