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Finding the Fourth Proportional to 22,141.50, 33,171.75 and 17,407.86

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Solution

The fourth proportional to 22,141.50, 33,171.75 and 17,407.86 is: 26,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.50 : 33,171.75 = 17,407.86 : x
  2. Step 2: Convert to fraction form
    22,141.50/33,171.75 = 17,407.86/x
  3. Step 3: Cross multiply
    22,141.50x = 33,171.75 × 17,407.86
  4. Step 4: Simplify right side
    22,141.50x = 577,449,179.96
  5. Step 5: Solve for x
    x = 577,449,179.96/22,141.50
  6. Step 6: Final answer
    x = 26,079.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.