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Finding the Fourth Proportional to 23,471.88, 32,391.19 and 14,042.66

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Solution

The fourth proportional to 23,471.88, 32,391.19 and 14,042.66 is: 19,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.88 : 32,391.19 = 14,042.66 : x
  2. Step 2: Convert to fraction form
    23,471.88/32,391.19 = 14,042.66/x
  3. Step 3: Cross multiply
    23,471.88x = 32,391.19 × 14,042.66
  4. Step 4: Simplify right side
    23,471.88x = 454,858,468.17
  5. Step 5: Solve for x
    x = 454,858,468.17/23,471.88
  6. Step 6: Final answer
    x = 19,378.87

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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.