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Finding the Fourth Proportional to 23,517.57, 32,454.63 and 12,908.19

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Solution

The fourth proportional to 23,517.57, 32,454.63 and 12,908.19 is: 17,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.57 : 32,454.63 = 12,908.19 : x
  2. Step 2: Convert to fraction form
    23,517.57/32,454.63 = 12,908.19/x
  3. Step 3: Cross multiply
    23,517.57x = 32,454.63 × 12,908.19
  4. Step 4: Simplify right side
    23,517.57x = 418,930,530.42
  5. Step 5: Solve for x
    x = 418,930,530.42/23,517.57
  6. Step 6: Final answer
    x = 17,813.51

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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.