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Finding the Fourth Proportional to 29,843.56, 41,184.20 and 16,416.19

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Solution

The fourth proportional to 29,843.56, 41,184.20 and 16,416.19 is: 22,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.56 : 41,184.20 = 16,416.19 : x
  2. Step 2: Convert to fraction form
    29,843.56/41,184.20 = 16,416.19/x
  3. Step 3: Cross multiply
    29,843.56x = 41,184.20 × 16,416.19
  4. Step 4: Simplify right side
    29,843.56x = 676,087,570.12
  5. Step 5: Solve for x
    x = 676,087,570.12/29,843.56
  6. Step 6: Final answer
    x = 22,654.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.