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Finding the Fourth Proportional to 23,134.78, 34,702.02 and 6,494.82

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Solution

The fourth proportional to 23,134.78, 34,702.02 and 6,494.82 is: 9,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.78 : 34,702.02 = 6,494.82 : x
  2. Step 2: Convert to fraction form
    23,134.78/34,702.02 = 6,494.82/x
  3. Step 3: Cross multiply
    23,134.78x = 34,702.02 × 6,494.82
  4. Step 4: Simplify right side
    23,134.78x = 225,383,373.54
  5. Step 5: Solve for x
    x = 225,383,373.54/23,134.78
  6. Step 6: Final answer
    x = 9,742.19

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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.