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Finding the Fourth Proportional to 14,462.92, 21,684.84 and 9,517.60

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Solution

The fourth proportional to 14,462.92, 21,684.84 and 9,517.60 is: 14,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.92 : 21,684.84 = 9,517.60 : x
  2. Step 2: Convert to fraction form
    14,462.92/21,684.84 = 9,517.60/x
  3. Step 3: Cross multiply
    14,462.92x = 21,684.84 × 9,517.60
  4. Step 4: Simplify right side
    14,462.92x = 206,387,633.18
  5. Step 5: Solve for x
    x = 206,387,633.18/14,462.92
  6. Step 6: Final answer
    x = 14,270.12

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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.