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Finding the Fourth Proportional to 19,698, 29,552.13 and 5,847

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Solution

The fourth proportional to 19,698, 29,552.13 and 5,847 is: 8,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698 : 29,552.13 = 5,847 : x
  2. Step 2: Convert to fraction form
    19,698/29,552.13 = 5,847/x
  3. Step 3: Cross multiply
    19,698x = 29,552.13 × 5,847
  4. Step 4: Simplify right side
    19,698x = 172,791,304.11
  5. Step 5: Solve for x
    x = 172,791,304.11/19,698
  6. Step 6: Final answer
    x = 8,772.02

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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.