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Finding the Fourth Proportional to 13,490.40, 20,230.80 and 6,098.40

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Solution

The fourth proportional to 13,490.40, 20,230.80 and 6,098.40 is: 9,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.40 : 20,230.80 = 6,098.40 : x
  2. Step 2: Convert to fraction form
    13,490.40/20,230.80 = 6,098.40/x
  3. Step 3: Cross multiply
    13,490.40x = 20,230.80 × 6,098.40
  4. Step 4: Simplify right side
    13,490.40x = 123,375,510.72
  5. Step 5: Solve for x
    x = 123,375,510.72/13,490.40
  6. Step 6: Final answer
    x = 9,145.43

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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.