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Finding the Fourth Proportional to 23,085.81, 34,631.96 and 8,291.97

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Solution

The fourth proportional to 23,085.81, 34,631.96 and 8,291.97 is: 12,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.81 : 34,631.96 = 8,291.97 : x
  2. Step 2: Convert to fraction form
    23,085.81/34,631.96 = 8,291.97/x
  3. Step 3: Cross multiply
    23,085.81x = 34,631.96 × 8,291.97
  4. Step 4: Simplify right side
    23,085.81x = 287,167,131.90
  5. Step 5: Solve for x
    x = 287,167,131.90/23,085.81
  6. Step 6: Final answer
    x = 12,439.12

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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.