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Finding the Fourth Proportional to 22,276.92, 30,782.70 and 21,197.24

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Solution

The fourth proportional to 22,276.92, 30,782.70 and 21,197.24 is: 29,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.92 : 30,782.70 = 21,197.24 : x
  2. Step 2: Convert to fraction form
    22,276.92/30,782.70 = 21,197.24/x
  3. Step 3: Cross multiply
    22,276.92x = 30,782.70 × 21,197.24
  4. Step 4: Simplify right side
    22,276.92x = 652,508,279.75
  5. Step 5: Solve for x
    x = 652,508,279.75/22,276.92
  6. Step 6: Final answer
    x = 29,290.78

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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.