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Finding the Fourth Proportional to 23,252.39, 32,086.86 and 13,042.86

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Solution

The fourth proportional to 23,252.39, 32,086.86 and 13,042.86 is: 17,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252.39 : 32,086.86 = 13,042.86 : x
  2. Step 2: Convert to fraction form
    23,252.39/32,086.86 = 13,042.86/x
  3. Step 3: Cross multiply
    23,252.39x = 32,086.86 × 13,042.86
  4. Step 4: Simplify right side
    23,252.39x = 418,504,422.82
  5. Step 5: Solve for x
    x = 418,504,422.82/23,252.39
  6. Step 6: Final answer
    x = 17,998.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.