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Finding the Fourth Proportional to 14,796.28, 22,195.32 and 6,031

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Solution

The fourth proportional to 14,796.28, 22,195.32 and 6,031 is: 9,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.28 : 22,195.32 = 6,031 : x
  2. Step 2: Convert to fraction form
    14,796.28/22,195.32 = 6,031/x
  3. Step 3: Cross multiply
    14,796.28x = 22,195.32 × 6,031
  4. Step 4: Simplify right side
    14,796.28x = 133,859,974.92
  5. Step 5: Solve for x
    x = 133,859,974.92/14,796.28
  6. Step 6: Final answer
    x = 9,046.87

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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.