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Finding the Fourth Proportional to 13,414.47, 20,108.03 and 6,016.95

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Solution

The fourth proportional to 13,414.47, 20,108.03 and 6,016.95 is: 9,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.47 : 20,108.03 = 6,016.95 : x
  2. Step 2: Convert to fraction form
    13,414.47/20,108.03 = 6,016.95/x
  3. Step 3: Cross multiply
    13,414.47x = 20,108.03 × 6,016.95
  4. Step 4: Simplify right side
    13,414.47x = 120,988,981.02
  5. Step 5: Solve for x
    x = 120,988,981.02/13,414.47
  6. Step 6: Final answer
    x = 9,019.29

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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.