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Finding the Fourth Proportional to 22,676.38, 34,014.65 and 6,881.55

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Solution

The fourth proportional to 22,676.38, 34,014.65 and 6,881.55 is: 10,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.38 : 34,014.65 = 6,881.55 : x
  2. Step 2: Convert to fraction form
    22,676.38/34,014.65 = 6,881.55/x
  3. Step 3: Cross multiply
    22,676.38x = 34,014.65 × 6,881.55
  4. Step 4: Simplify right side
    22,676.38x = 234,073,352.74
  5. Step 5: Solve for x
    x = 234,073,352.74/22,676.38
  6. Step 6: Final answer
    x = 10,322.34

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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.