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Finding the Fourth Proportional to 13,490.94, 20,238.82 and 6,098.88

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Solution

The fourth proportional to 13,490.94, 20,238.82 and 6,098.88 is: 9,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.94 : 20,238.82 = 6,098.88 : x
  2. Step 2: Convert to fraction form
    13,490.94/20,238.82 = 6,098.88/x
  3. Step 3: Cross multiply
    13,490.94x = 20,238.82 × 6,098.88
  4. Step 4: Simplify right side
    13,490.94x = 123,434,134.52
  5. Step 5: Solve for x
    x = 123,434,134.52/13,490.94
  6. Step 6: Final answer
    x = 9,149.41

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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.