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Finding the Fourth Proportional to 29,832.71, 41,168.86 and 16,404.12

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Solution

The fourth proportional to 29,832.71, 41,168.86 and 16,404.12 is: 22,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.71 : 41,168.86 = 16,404.12 : x
  2. Step 2: Convert to fraction form
    29,832.71/41,168.86 = 16,404.12/x
  3. Step 3: Cross multiply
    29,832.71x = 41,168.86 × 16,404.12
  4. Step 4: Simplify right side
    29,832.71x = 675,338,878.69
  5. Step 5: Solve for x
    x = 675,338,878.69/29,832.71
  6. Step 6: Final answer
    x = 22,637.53

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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.