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Finding the Fourth Proportional to 22,831.26, 34,251.14 and 8,049.57

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Solution

The fourth proportional to 22,831.26, 34,251.14 and 8,049.57 is: 12,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.26 : 34,251.14 = 8,049.57 : x
  2. Step 2: Convert to fraction form
    22,831.26/34,251.14 = 8,049.57/x
  3. Step 3: Cross multiply
    22,831.26x = 34,251.14 × 8,049.57
  4. Step 4: Simplify right side
    22,831.26x = 275,706,969.13
  5. Step 5: Solve for x
    x = 275,706,969.13/22,831.26
  6. Step 6: Final answer
    x = 12,075.85

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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.