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Finding the Fourth Proportional to 23,251.48, 32,086.65 and 12,641.38

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Solution

The fourth proportional to 23,251.48, 32,086.65 and 12,641.38 is: 17,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.48 : 32,086.65 = 12,641.38 : x
  2. Step 2: Convert to fraction form
    23,251.48/32,086.65 = 12,641.38/x
  3. Step 3: Cross multiply
    23,251.48x = 32,086.65 × 12,641.38
  4. Step 4: Simplify right side
    23,251.48x = 405,619,535.58
  5. Step 5: Solve for x
    x = 405,619,535.58/23,251.48
  6. Step 6: Final answer
    x = 17,444.89

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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.