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Finding the Fourth Proportional to 17,540.64, 24,194.88 and 10,463.04

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Solution

The fourth proportional to 17,540.64, 24,194.88 and 10,463.04 is: 14,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.64 : 24,194.88 = 10,463.04 : x
  2. Step 2: Convert to fraction form
    17,540.64/24,194.88 = 10,463.04/x
  3. Step 3: Cross multiply
    17,540.64x = 24,194.88 × 10,463.04
  4. Step 4: Simplify right side
    17,540.64x = 253,151,997.24
  5. Step 5: Solve for x
    x = 253,151,997.24/17,540.64
  6. Step 6: Final answer
    x = 14,432.31

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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.