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Finding the Fourth Proportional to 13,414.76, 20,121.28 and 4,648.92

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Solution

The fourth proportional to 13,414.76, 20,121.28 and 4,648.92 is: 6,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.76 : 20,121.28 = 4,648.92 : x
  2. Step 2: Convert to fraction form
    13,414.76/20,121.28 = 4,648.92/x
  3. Step 3: Cross multiply
    13,414.76x = 20,121.28 × 4,648.92
  4. Step 4: Simplify right side
    13,414.76x = 93,542,221.02
  5. Step 5: Solve for x
    x = 93,542,221.02/13,414.76
  6. Step 6: Final answer
    x = 6,973.08

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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.