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Finding the Fourth Proportional to 23,077.76, 34,631.36 and 8,286.36

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Solution

The fourth proportional to 23,077.76, 34,631.36 and 8,286.36 is: 12,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.76 : 34,631.36 = 8,286.36 : x
  2. Step 2: Convert to fraction form
    23,077.76/34,631.36 = 8,286.36/x
  3. Step 3: Cross multiply
    23,077.76x = 34,631.36 × 8,286.36
  4. Step 4: Simplify right side
    23,077.76x = 286,967,916.25
  5. Step 5: Solve for x
    x = 286,967,916.25/23,077.76
  6. Step 6: Final answer
    x = 12,434.83

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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.