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Finding the Fourth Proportional to 21,702.52, 32,508.42 and 13,871.56

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Solution

The fourth proportional to 21,702.52, 32,508.42 and 13,871.56 is: 20,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.52 : 32,508.42 = 13,871.56 : x
  2. Step 2: Convert to fraction form
    21,702.52/32,508.42 = 13,871.56/x
  3. Step 3: Cross multiply
    21,702.52x = 32,508.42 × 13,871.56
  4. Step 4: Simplify right side
    21,702.52x = 450,942,498.54
  5. Step 5: Solve for x
    x = 450,942,498.54/21,702.52
  6. Step 6: Final answer
    x = 20,778.35

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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.