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Finding the Fourth Proportional to 13,013.43, 19,488.68 and 7,449.90

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Solution

The fourth proportional to 13,013.43, 19,488.68 and 7,449.90 is: 11,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.43 : 19,488.68 = 7,449.90 : x
  2. Step 2: Convert to fraction form
    13,013.43/19,488.68 = 7,449.90/x
  3. Step 3: Cross multiply
    13,013.43x = 19,488.68 × 7,449.90
  4. Step 4: Simplify right side
    13,013.43x = 145,188,679.88
  5. Step 5: Solve for x
    x = 145,188,679.88/13,013.43
  6. Step 6: Final answer
    x = 11,156.83

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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.