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Finding the Fourth Proportional to 23,523.96, 32,463.78 and 12,914.28

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Solution

The fourth proportional to 23,523.96, 32,463.78 and 12,914.28 is: 17,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.96 : 32,463.78 = 12,914.28 : x
  2. Step 2: Convert to fraction form
    23,523.96/32,463.78 = 12,914.28/x
  3. Step 3: Cross multiply
    23,523.96x = 32,463.78 × 12,914.28
  4. Step 4: Simplify right side
    23,523.96x = 419,246,344.78
  5. Step 5: Solve for x
    x = 419,246,344.78/23,523.96
  6. Step 6: Final answer
    x = 17,822.10

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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.