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Finding the Fourth Proportional to 19,872.32, 29,789.93 and 6,715.49

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Solution

The fourth proportional to 19,872.32, 29,789.93 and 6,715.49 is: 10,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.32 : 29,789.93 = 6,715.49 : x
  2. Step 2: Convert to fraction form
    19,872.32/29,789.93 = 6,715.49/x
  3. Step 3: Cross multiply
    19,872.32x = 29,789.93 × 6,715.49
  4. Step 4: Simplify right side
    19,872.32x = 200,053,844.85
  5. Step 5: Solve for x
    x = 200,053,844.85/19,872.32
  6. Step 6: Final answer
    x = 10,066.96

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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.