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Finding the Fourth Proportional to 13,689.52, 20,531.14 and 3,829.49

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Solution

The fourth proportional to 13,689.52, 20,531.14 and 3,829.49 is: 5,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.52 : 20,531.14 = 3,829.49 : x
  2. Step 2: Convert to fraction form
    13,689.52/20,531.14 = 3,829.49/x
  3. Step 3: Cross multiply
    13,689.52x = 20,531.14 × 3,829.49
  4. Step 4: Simplify right side
    13,689.52x = 78,623,837.07
  5. Step 5: Solve for x
    x = 78,623,837.07/13,689.52
  6. Step 6: Final answer
    x = 5,743.36

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