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Finding the Fourth Proportional to 13,721.59, 20,535 and 8,454.57

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Solution

The fourth proportional to 13,721.59, 20,535 and 8,454.57 is: 12,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.59 : 20,535 = 8,454.57 : x
  2. Step 2: Convert to fraction form
    13,721.59/20,535 = 8,454.57/x
  3. Step 3: Cross multiply
    13,721.59x = 20,535 × 8,454.57
  4. Step 4: Simplify right side
    13,721.59x = 173,614,594.95
  5. Step 5: Solve for x
    x = 173,614,594.95/13,721.59
  6. Step 6: Final answer
    x = 12,652.66

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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.