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Finding the Fourth Proportional to 23,065.85, 34,589.07 and 8,069.76

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Solution

The fourth proportional to 23,065.85, 34,589.07 and 8,069.76 is: 12,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.85 : 34,589.07 = 8,069.76 : x
  2. Step 2: Convert to fraction form
    23,065.85/34,589.07 = 8,069.76/x
  3. Step 3: Cross multiply
    23,065.85x = 34,589.07 × 8,069.76
  4. Step 4: Simplify right side
    23,065.85x = 279,125,493.52
  5. Step 5: Solve for x
    x = 279,125,493.52/23,065.85
  6. Step 6: Final answer
    x = 12,101.25

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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.