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Finding the Fourth Proportional to 29,843.91, 41,185.58 and 16,416.20

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Solution

The fourth proportional to 29,843.91, 41,185.58 and 16,416.20 is: 22,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.91 : 41,185.58 = 16,416.20 : x
  2. Step 2: Convert to fraction form
    29,843.91/41,185.58 = 16,416.20/x
  3. Step 3: Cross multiply
    29,843.91x = 41,185.58 × 16,416.20
  4. Step 4: Simplify right side
    29,843.91x = 676,110,430.39
  5. Step 5: Solve for x
    x = 676,110,430.39/29,843.91
  6. Step 6: Final answer
    x = 22,654.89

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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.