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Finding the Fourth Proportional to 23,107.43, 34,657.53 and 7,524.95

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Solution

The fourth proportional to 23,107.43, 34,657.53 and 7,524.95 is: 11,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.43 : 34,657.53 = 7,524.95 : x
  2. Step 2: Convert to fraction form
    23,107.43/34,657.53 = 7,524.95/x
  3. Step 3: Cross multiply
    23,107.43x = 34,657.53 × 7,524.95
  4. Step 4: Simplify right side
    23,107.43x = 260,796,180.37
  5. Step 5: Solve for x
    x = 260,796,180.37/23,107.43
  6. Step 6: Final answer
    x = 11,286.25

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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.