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Finding the Fourth Proportional to 29,785.88, 41,104.21 and 16,357

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Solution

The fourth proportional to 29,785.88, 41,104.21 and 16,357 is: 22,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.88 : 41,104.21 = 16,357 : x
  2. Step 2: Convert to fraction form
    29,785.88/41,104.21 = 16,357/x
  3. Step 3: Cross multiply
    29,785.88x = 41,104.21 × 16,357
  4. Step 4: Simplify right side
    29,785.88x = 672,341,562.97
  5. Step 5: Solve for x
    x = 672,341,562.97/29,785.88
  6. Step 6: Final answer
    x = 22,572.49

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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.