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Finding the Fourth Proportional to 22,735.50, 34,107.92 and 9,587.90

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Solution

The fourth proportional to 22,735.50, 34,107.92 and 9,587.90 is: 14,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.50 : 34,107.92 = 9,587.90 : x
  2. Step 2: Convert to fraction form
    22,735.50/34,107.92 = 9,587.90/x
  3. Step 3: Cross multiply
    22,735.50x = 34,107.92 × 9,587.90
  4. Step 4: Simplify right side
    22,735.50x = 327,023,326.17
  5. Step 5: Solve for x
    x = 327,023,326.17/22,735.50
  6. Step 6: Final answer
    x = 14,383.82

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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.