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Finding the Fourth Proportional to 23,617.49, 32,591.12 and 12,862.40

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Solution

The fourth proportional to 23,617.49, 32,591.12 and 12,862.40 is: 17,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.49 : 32,591.12 = 12,862.40 : x
  2. Step 2: Convert to fraction form
    23,617.49/32,591.12 = 12,862.40/x
  3. Step 3: Cross multiply
    23,617.49x = 32,591.12 × 12,862.40
  4. Step 4: Simplify right side
    23,617.49x = 419,199,794.62
  5. Step 5: Solve for x
    x = 419,199,794.62/23,617.49
  6. Step 6: Final answer
    x = 17,749.55

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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.