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Finding the Fourth Proportional to 24,177.50, 36,321.84 and 17,174.54

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Solution

The fourth proportional to 24,177.50, 36,321.84 and 17,174.54 is: 25,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.50 : 36,321.84 = 17,174.54 : x
  2. Step 2: Convert to fraction form
    24,177.50/36,321.84 = 17,174.54/x
  3. Step 3: Cross multiply
    24,177.50x = 36,321.84 × 17,174.54
  4. Step 4: Simplify right side
    24,177.50x = 623,810,893.95
  5. Step 5: Solve for x
    x = 623,810,893.95/24,177.50
  6. Step 6: Final answer
    x = 25,801.30

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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.