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Finding the Fourth Proportional to 19,902.74, 29,854.02 and 5,863.06

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Solution

The fourth proportional to 19,902.74, 29,854.02 and 5,863.06 is: 8,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.74 : 29,854.02 = 5,863.06 : x
  2. Step 2: Convert to fraction form
    19,902.74/29,854.02 = 5,863.06/x
  3. Step 3: Cross multiply
    19,902.74x = 29,854.02 × 5,863.06
  4. Step 4: Simplify right side
    19,902.74x = 175,035,910.50
  5. Step 5: Solve for x
    x = 175,035,910.50/19,902.74
  6. Step 6: Final answer
    x = 8,794.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.