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Finding the Fourth Proportional to 13,807.38, 20,711.06 and 3,419.13

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Solution

The fourth proportional to 13,807.38, 20,711.06 and 3,419.13 is: 5,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.38 : 20,711.06 = 3,419.13 : x
  2. Step 2: Convert to fraction form
    13,807.38/20,711.06 = 3,419.13/x
  3. Step 3: Cross multiply
    13,807.38x = 20,711.06 × 3,419.13
  4. Step 4: Simplify right side
    13,807.38x = 70,813,806.58
  5. Step 5: Solve for x
    x = 70,813,806.58/13,807.38
  6. Step 6: Final answer
    x = 5,128.69

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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.