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Finding the Fourth Proportional to 29,827.50, 41,160.90 and 16,398.66

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Solution

The fourth proportional to 29,827.50, 41,160.90 and 16,398.66 is: 22,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.50 : 41,160.90 = 16,398.66 : x
  2. Step 2: Convert to fraction form
    29,827.50/41,160.90 = 16,398.66/x
  3. Step 3: Cross multiply
    29,827.50x = 41,160.90 × 16,398.66
  4. Step 4: Simplify right side
    29,827.50x = 674,983,604.39
  5. Step 5: Solve for x
    x = 674,983,604.39/29,827.50
  6. Step 6: Final answer
    x = 22,629.57

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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.