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Finding the Fourth Proportional to 22,691.35, 34,042.29 and 7,697.67

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Solution

The fourth proportional to 22,691.35, 34,042.29 and 7,697.67 is: 11,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.35 : 34,042.29 = 7,697.67 : x
  2. Step 2: Convert to fraction form
    22,691.35/34,042.29 = 7,697.67/x
  3. Step 3: Cross multiply
    22,691.35x = 34,042.29 × 7,697.67
  4. Step 4: Simplify right side
    22,691.35x = 262,046,275.98
  5. Step 5: Solve for x
    x = 262,046,275.98/22,691.35
  6. Step 6: Final answer
    x = 11,548.29

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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.