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Finding the Fourth Proportional to 13,494.71, 20,236.12 and 6,098.87

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Solution

The fourth proportional to 13,494.71, 20,236.12 and 6,098.87 is: 9,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.71 : 20,236.12 = 6,098.87 : x
  2. Step 2: Convert to fraction form
    13,494.71/20,236.12 = 6,098.87/x
  3. Step 3: Cross multiply
    13,494.71x = 20,236.12 × 6,098.87
  4. Step 4: Simplify right side
    13,494.71x = 123,417,465.18
  5. Step 5: Solve for x
    x = 123,417,465.18/13,494.71
  6. Step 6: Final answer
    x = 9,145.62

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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.