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Finding the Fourth Proportional to 22,876.64, 34,314.96 and 8,077.44

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Solution

The fourth proportional to 22,876.64, 34,314.96 and 8,077.44 is: 12,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.64 : 34,314.96 = 8,077.44 : x
  2. Step 2: Convert to fraction form
    22,876.64/34,314.96 = 8,077.44/x
  3. Step 3: Cross multiply
    22,876.64x = 34,314.96 × 8,077.44
  4. Step 4: Simplify right side
    22,876.64x = 277,177,030.50
  5. Step 5: Solve for x
    x = 277,177,030.50/22,876.64
  6. Step 6: Final answer
    x = 12,116.16

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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.