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Finding the Fourth Proportional to 23,523.78, 32,463 and 12,914.40

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Solution

The fourth proportional to 23,523.78, 32,463 and 12,914.40 is: 17,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.78 : 32,463 = 12,914.40 : x
  2. Step 2: Convert to fraction form
    23,523.78/32,463 = 12,914.40/x
  3. Step 3: Cross multiply
    23,523.78x = 32,463 × 12,914.40
  4. Step 4: Simplify right side
    23,523.78x = 419,240,167.20
  5. Step 5: Solve for x
    x = 419,240,167.20/23,523.78
  6. Step 6: Final answer
    x = 17,821.97

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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.