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Finding the Fourth Proportional to 19,552.01, 29,328 and 7,862.49

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Solution

The fourth proportional to 19,552.01, 29,328 and 7,862.49 is: 11,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552.01 : 29,328 = 7,862.49 : x
  2. Step 2: Convert to fraction form
    19,552.01/29,328 = 7,862.49/x
  3. Step 3: Cross multiply
    19,552.01x = 29,328 × 7,862.49
  4. Step 4: Simplify right side
    19,552.01x = 230,591,106.72
  5. Step 5: Solve for x
    x = 230,591,106.72/19,552.01
  6. Step 6: Final answer
    x = 11,793.73

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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.