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Finding the Fourth Proportional to 12,329.68, 17,042.52 and 9,214.96

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Solution

The fourth proportional to 12,329.68, 17,042.52 and 9,214.96 is: 12,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.68 : 17,042.52 = 9,214.96 : x
  2. Step 2: Convert to fraction form
    12,329.68/17,042.52 = 9,214.96/x
  3. Step 3: Cross multiply
    12,329.68x = 17,042.52 × 9,214.96
  4. Step 4: Simplify right side
    12,329.68x = 157,046,140.10
  5. Step 5: Solve for x
    x = 157,046,140.10/12,329.68
  6. Step 6: Final answer
    x = 12,737.24

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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.