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Finding the Fourth Proportional to 29,615.38, 40,869.13 and 16,186.73

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Solution

The fourth proportional to 29,615.38, 40,869.13 and 16,186.73 is: 22,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,615.38 : 40,869.13 = 16,186.73 : x
  2. Step 2: Convert to fraction form
    29,615.38/40,869.13 = 16,186.73/x
  3. Step 3: Cross multiply
    29,615.38x = 40,869.13 × 16,186.73
  4. Step 4: Simplify right side
    29,615.38x = 661,537,572.64
  5. Step 5: Solve for x
    x = 661,537,572.64/29,615.38
  6. Step 6: Final answer
    x = 22,337.64

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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.