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Finding the Fourth Proportional to 12,329.52, 18,461.47 and 9,634.24

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Solution

The fourth proportional to 12,329.52, 18,461.47 and 9,634.24 is: 14,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.52 : 18,461.47 = 9,634.24 : x
  2. Step 2: Convert to fraction form
    12,329.52/18,461.47 = 9,634.24/x
  3. Step 3: Cross multiply
    12,329.52x = 18,461.47 × 9,634.24
  4. Step 4: Simplify right side
    12,329.52x = 177,862,249.79
  5. Step 5: Solve for x
    x = 177,862,249.79/12,329.52
  6. Step 6: Final answer
    x = 14,425.73

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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.