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Finding the Fourth Proportional to 13,319.91, 18,384.17 and 7,658.62

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Solution

The fourth proportional to 13,319.91, 18,384.17 and 7,658.62 is: 10,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.91 : 18,384.17 = 7,658.62 : x
  2. Step 2: Convert to fraction form
    13,319.91/18,384.17 = 7,658.62/x
  3. Step 3: Cross multiply
    13,319.91x = 18,384.17 × 7,658.62
  4. Step 4: Simplify right side
    13,319.91x = 140,797,287.79
  5. Step 5: Solve for x
    x = 140,797,287.79/13,319.91
  6. Step 6: Final answer
    x = 10,570.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.