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Finding the Fourth Proportional to 22,751.46, 34,131.96 and 9,603.90

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Solution

The fourth proportional to 22,751.46, 34,131.96 and 9,603.90 is: 14,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.46 : 34,131.96 = 9,603.90 : x
  2. Step 2: Convert to fraction form
    22,751.46/34,131.96 = 9,603.90/x
  3. Step 3: Cross multiply
    22,751.46x = 34,131.96 × 9,603.90
  4. Step 4: Simplify right side
    22,751.46x = 327,799,930.64
  5. Step 5: Solve for x
    x = 327,799,930.64/22,751.46
  6. Step 6: Final answer
    x = 14,407.86

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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.