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Finding the Fourth Proportional to 19,902.38, 29,853.87 and 5,110.97

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Solution

The fourth proportional to 19,902.38, 29,853.87 and 5,110.97 is: 7,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.38 : 29,853.87 = 5,110.97 : x
  2. Step 2: Convert to fraction form
    19,902.38/29,853.87 = 5,110.97/x
  3. Step 3: Cross multiply
    19,902.38x = 29,853.87 × 5,110.97
  4. Step 4: Simplify right side
    19,902.38x = 152,582,360.53
  5. Step 5: Solve for x
    x = 152,582,360.53/19,902.38
  6. Step 6: Final answer
    x = 7,666.54

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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.