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Finding the Fourth Proportional to 22,869.34, 34,308.10 and 8,086.84

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Solution

The fourth proportional to 22,869.34, 34,308.10 and 8,086.84 is: 12,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.34 : 34,308.10 = 8,086.84 : x
  2. Step 2: Convert to fraction form
    22,869.34/34,308.10 = 8,086.84/x
  3. Step 3: Cross multiply
    22,869.34x = 34,308.10 × 8,086.84
  4. Step 4: Simplify right side
    22,869.34x = 277,444,115.40
  5. Step 5: Solve for x
    x = 277,444,115.40/22,869.34
  6. Step 6: Final answer
    x = 12,131.71

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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.