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Finding the Fourth Proportional to 21,649.75, 29,876.07 and 12,217.57

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Solution

The fourth proportional to 21,649.75, 29,876.07 and 12,217.57 is: 16,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.75 : 29,876.07 = 12,217.57 : x
  2. Step 2: Convert to fraction form
    21,649.75/29,876.07 = 12,217.57/x
  3. Step 3: Cross multiply
    21,649.75x = 29,876.07 × 12,217.57
  4. Step 4: Simplify right side
    21,649.75x = 365,012,976.55
  5. Step 5: Solve for x
    x = 365,012,976.55/21,649.75
  6. Step 6: Final answer
    x = 16,859.92

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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.