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Finding the Fourth Proportional to 12,412.62, 18,625.88 and 9,644.85

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Solution

The fourth proportional to 12,412.62, 18,625.88 and 9,644.85 is: 14,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.62 : 18,625.88 = 9,644.85 : x
  2. Step 2: Convert to fraction form
    12,412.62/18,625.88 = 9,644.85/x
  3. Step 3: Cross multiply
    12,412.62x = 18,625.88 × 9,644.85
  4. Step 4: Simplify right side
    12,412.62x = 179,643,842.83
  5. Step 5: Solve for x
    x = 179,643,842.83/12,412.62
  6. Step 6: Final answer
    x = 14,472.68

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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.