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Finding the Fourth Proportional to 29,722.32, 41,017.20 and 17,786.16

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Solution

The fourth proportional to 29,722.32, 41,017.20 and 17,786.16 is: 24,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722.32 : 41,017.20 = 17,786.16 : x
  2. Step 2: Convert to fraction form
    29,722.32/41,017.20 = 17,786.16/x
  3. Step 3: Cross multiply
    29,722.32x = 41,017.20 × 17,786.16
  4. Step 4: Simplify right side
    29,722.32x = 729,538,481.95
  5. Step 5: Solve for x
    x = 729,538,481.95/29,722.32
  6. Step 6: Final answer
    x = 24,545.14

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