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Finding the Fourth Proportional to 12,444.62, 17,164.67 and 7,658.29

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Solution

The fourth proportional to 12,444.62, 17,164.67 and 7,658.29 is: 10,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.62 : 17,164.67 = 7,658.29 : x
  2. Step 2: Convert to fraction form
    12,444.62/17,164.67 = 7,658.29/x
  3. Step 3: Cross multiply
    12,444.62x = 17,164.67 × 7,658.29
  4. Step 4: Simplify right side
    12,444.62x = 131,451,942.78
  5. Step 5: Solve for x
    x = 131,451,942.78/12,444.62
  6. Step 6: Final answer
    x = 10,562.95

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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.