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Finding the Fourth Proportional to 24,298.96, 33,531.96 and 13,687.96

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Solution

The fourth proportional to 24,298.96, 33,531.96 and 13,687.96 is: 18,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.96 : 33,531.96 = 13,687.96 : x
  2. Step 2: Convert to fraction form
    24,298.96/33,531.96 = 13,687.96/x
  3. Step 3: Cross multiply
    24,298.96x = 33,531.96 × 13,687.96
  4. Step 4: Simplify right side
    24,298.96x = 458,984,127.20
  5. Step 5: Solve for x
    x = 458,984,127.20/24,298.96
  6. Step 6: Final answer
    x = 18,889.04

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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.