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Finding the Fourth Proportional to 23,069.97, 34,605 and 8,279.82

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Solution

The fourth proportional to 23,069.97, 34,605 and 8,279.82 is: 12,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.97 : 34,605 = 8,279.82 : x
  2. Step 2: Convert to fraction form
    23,069.97/34,605 = 8,279.82/x
  3. Step 3: Cross multiply
    23,069.97x = 34,605 × 8,279.82
  4. Step 4: Simplify right side
    23,069.97x = 286,523,171.10
  5. Step 5: Solve for x
    x = 286,523,171.10/23,069.97
  6. Step 6: Final answer
    x = 12,419.75

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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.