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Finding the Fourth Proportional to 22,947.69, 34,424.26 and 8,158.10

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Solution

The fourth proportional to 22,947.69, 34,424.26 and 8,158.10 is: 12,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.69 : 34,424.26 = 8,158.10 : x
  2. Step 2: Convert to fraction form
    22,947.69/34,424.26 = 8,158.10/x
  3. Step 3: Cross multiply
    22,947.69x = 34,424.26 × 8,158.10
  4. Step 4: Simplify right side
    22,947.69x = 280,836,555.51
  5. Step 5: Solve for x
    x = 280,836,555.51/22,947.69
  6. Step 6: Final answer
    x = 12,238.12

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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.