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Finding the Fourth Proportional to 29,827.59, 41,161.55 and 16,398.74

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Solution

The fourth proportional to 29,827.59, 41,161.55 and 16,398.74 is: 22,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.59 : 41,161.55 = 16,398.74 : x
  2. Step 2: Convert to fraction form
    29,827.59/41,161.55 = 16,398.74/x
  3. Step 3: Cross multiply
    29,827.59x = 41,161.55 × 16,398.74
  4. Step 4: Simplify right side
    29,827.59x = 674,997,268.65
  5. Step 5: Solve for x
    x = 674,997,268.65/29,827.59
  6. Step 6: Final answer
    x = 22,629.96

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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.