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Finding the Fourth Proportional to 29,852.48, 41,195.84 and 16,422.96

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Solution

The fourth proportional to 29,852.48, 41,195.84 and 16,422.96 is: 22,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.48 : 41,195.84 = 16,422.96 : x
  2. Step 2: Convert to fraction form
    29,852.48/41,195.84 = 16,422.96/x
  3. Step 3: Cross multiply
    29,852.48x = 41,195.84 × 16,422.96
  4. Step 4: Simplify right side
    29,852.48x = 676,557,632.49
  5. Step 5: Solve for x
    x = 676,557,632.49/29,852.48
  6. Step 6: Final answer
    x = 22,663.36

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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.