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Finding the Fourth Proportional to 29,656.38, 40,922.34 and 17,716.98

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Solution

The fourth proportional to 29,656.38, 40,922.34 and 17,716.98 is: 24,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.38 : 40,922.34 = 17,716.98 : x
  2. Step 2: Convert to fraction form
    29,656.38/40,922.34 = 17,716.98/x
  3. Step 3: Cross multiply
    29,656.38x = 40,922.34 × 17,716.98
  4. Step 4: Simplify right side
    29,656.38x = 725,020,279.33
  5. Step 5: Solve for x
    x = 725,020,279.33/29,656.38
  6. Step 6: Final answer
    x = 24,447.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.