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Finding the Fourth Proportional to 22,143.50, 33,174.75 and 17,409.86

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Solution

The fourth proportional to 22,143.50, 33,174.75 and 17,409.86 is: 26,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.50 : 33,174.75 = 17,409.86 : x
  2. Step 2: Convert to fraction form
    22,143.50/33,174.75 = 17,409.86/x
  3. Step 3: Cross multiply
    22,143.50x = 33,174.75 × 17,409.86
  4. Step 4: Simplify right side
    22,143.50x = 577,567,753.04
  5. Step 5: Solve for x
    x = 577,567,753.04/22,143.50
  6. Step 6: Final answer
    x = 26,082.95

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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.