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Finding the Fourth Proportional to 13,717.52, 20,456.37 and 12,205.52

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Solution

The fourth proportional to 13,717.52, 20,456.37 and 12,205.52 is: 18,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.52 : 20,456.37 = 12,205.52 : x
  2. Step 2: Convert to fraction form
    13,717.52/20,456.37 = 12,205.52/x
  3. Step 3: Cross multiply
    13,717.52x = 20,456.37 × 12,205.52
  4. Step 4: Simplify right side
    13,717.52x = 249,680,633.16
  5. Step 5: Solve for x
    x = 249,680,633.16/13,717.52
  6. Step 6: Final answer
    x = 18,201.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.