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Finding the Fourth Proportional to 13,117.68, 19,658.10 and 7,179.30

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Solution

The fourth proportional to 13,117.68, 19,658.10 and 7,179.30 is: 10,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.68 : 19,658.10 = 7,179.30 : x
  2. Step 2: Convert to fraction form
    13,117.68/19,658.10 = 7,179.30/x
  3. Step 3: Cross multiply
    13,117.68x = 19,658.10 × 7,179.30
  4. Step 4: Simplify right side
    13,117.68x = 141,131,397.33
  5. Step 5: Solve for x
    x = 141,131,397.33/13,117.68
  6. Step 6: Final answer
    x = 10,758.87

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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.