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Finding the Fourth Proportional to 23,311.97, 34,943.06 and 9,252.53

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Solution

The fourth proportional to 23,311.97, 34,943.06 and 9,252.53 is: 13,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.97 : 34,943.06 = 9,252.53 : x
  2. Step 2: Convert to fraction form
    23,311.97/34,943.06 = 9,252.53/x
  3. Step 3: Cross multiply
    23,311.97x = 34,943.06 × 9,252.53
  4. Step 4: Simplify right side
    23,311.97x = 323,311,664.68
  5. Step 5: Solve for x
    x = 323,311,664.68/23,311.97
  6. Step 6: Final answer
    x = 13,868.91

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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.