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Finding the Fourth Proportional to 29,841.24, 41,181.92 and 16,413

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Solution

The fourth proportional to 29,841.24, 41,181.92 and 16,413 is: 22,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.24 : 41,181.92 = 16,413 : x
  2. Step 2: Convert to fraction form
    29,841.24/41,181.92 = 16,413/x
  3. Step 3: Cross multiply
    29,841.24x = 41,181.92 × 16,413
  4. Step 4: Simplify right side
    29,841.24x = 675,918,852.96
  5. Step 5: Solve for x
    x = 675,918,852.96/29,841.24
  6. Step 6: Final answer
    x = 22,650.49

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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.