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Finding the Fourth Proportional to 23,107.77, 34,658.98 and 6,469.13

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Solution

The fourth proportional to 23,107.77, 34,658.98 and 6,469.13 is: 9,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.77 : 34,658.98 = 6,469.13 : x
  2. Step 2: Convert to fraction form
    23,107.77/34,658.98 = 6,469.13/x
  3. Step 3: Cross multiply
    23,107.77x = 34,658.98 × 6,469.13
  4. Step 4: Simplify right side
    23,107.77x = 224,213,517.76
  5. Step 5: Solve for x
    x = 224,213,517.76/23,107.77
  6. Step 6: Final answer
    x = 9,702.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.