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Finding the Fourth Proportional to 29,824.88, 41,158.36 and 16,397

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Solution

The fourth proportional to 29,824.88, 41,158.36 and 16,397 is: 22,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.88 : 41,158.36 = 16,397 : x
  2. Step 2: Convert to fraction form
    29,824.88/41,158.36 = 16,397/x
  3. Step 3: Cross multiply
    29,824.88x = 41,158.36 × 16,397
  4. Step 4: Simplify right side
    29,824.88x = 674,873,628.92
  5. Step 5: Solve for x
    x = 674,873,628.92/29,824.88
  6. Step 6: Final answer
    x = 22,627.87

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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.