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Finding the Fourth Proportional to 24,709.50, 34,099.11 and 13,531.50

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Solution

The fourth proportional to 24,709.50, 34,099.11 and 13,531.50 is: 18,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.50 : 34,099.11 = 13,531.50 : x
  2. Step 2: Convert to fraction form
    24,709.50/34,099.11 = 13,531.50/x
  3. Step 3: Cross multiply
    24,709.50x = 34,099.11 × 13,531.50
  4. Step 4: Simplify right side
    24,709.50x = 461,412,106.97
  5. Step 5: Solve for x
    x = 461,412,106.97/24,709.50
  6. Step 6: Final answer
    x = 18,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.