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Finding the Fourth Proportional to 23,065.97, 34,591.66 and 8,274.56

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Solution

The fourth proportional to 23,065.97, 34,591.66 and 8,274.56 is: 12,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.97 : 34,591.66 = 8,274.56 : x
  2. Step 2: Convert to fraction form
    23,065.97/34,591.66 = 8,274.56/x
  3. Step 3: Cross multiply
    23,065.97x = 34,591.66 × 8,274.56
  4. Step 4: Simplify right side
    23,065.97x = 286,230,572.52
  5. Step 5: Solve for x
    x = 286,230,572.52/23,065.97
  6. Step 6: Final answer
    x = 12,409.22

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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.