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Finding the Fourth Proportional to 22,886.44, 34,329.86 and 8,097.86

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Solution

The fourth proportional to 22,886.44, 34,329.86 and 8,097.86 is: 12,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.44 : 34,329.86 = 8,097.86 : x
  2. Step 2: Convert to fraction form
    22,886.44/34,329.86 = 8,097.86/x
  3. Step 3: Cross multiply
    22,886.44x = 34,329.86 × 8,097.86
  4. Step 4: Simplify right side
    22,886.44x = 277,998,475.80
  5. Step 5: Solve for x
    x = 277,998,475.80/22,886.44
  6. Step 6: Final answer
    x = 12,146.87

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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.