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Finding the Fourth Proportional to 13,249.88, 19,862.47 and 4,478.66

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Solution

The fourth proportional to 13,249.88, 19,862.47 and 4,478.66 is: 6,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.88 : 19,862.47 = 4,478.66 : x
  2. Step 2: Convert to fraction form
    13,249.88/19,862.47 = 4,478.66/x
  3. Step 3: Cross multiply
    13,249.88x = 19,862.47 × 4,478.66
  4. Step 4: Simplify right side
    13,249.88x = 88,957,227.50
  5. Step 5: Solve for x
    x = 88,957,227.50/13,249.88
  6. Step 6: Final answer
    x = 6,713.81

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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.