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Finding the Fourth Proportional to 29,833.48, 41,169.54 and 16,221.16

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Solution

The fourth proportional to 29,833.48, 41,169.54 and 16,221.16 is: 22,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.48 : 41,169.54 = 16,221.16 : x
  2. Step 2: Convert to fraction form
    29,833.48/41,169.54 = 16,221.16/x
  3. Step 3: Cross multiply
    29,833.48x = 41,169.54 × 16,221.16
  4. Step 4: Simplify right side
    29,833.48x = 667,817,695.47
  5. Step 5: Solve for x
    x = 667,817,695.47/29,833.48
  6. Step 6: Final answer
    x = 22,384.84

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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.