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Finding the Fourth Proportional to 29,660.18, 40,931.04 and 16,231.44

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Solution

The fourth proportional to 29,660.18, 40,931.04 and 16,231.44 is: 22,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660.18 : 40,931.04 = 16,231.44 : x
  2. Step 2: Convert to fraction form
    29,660.18/40,931.04 = 16,231.44/x
  3. Step 3: Cross multiply
    29,660.18x = 40,931.04 × 16,231.44
  4. Step 4: Simplify right side
    29,660.18x = 664,369,627.27
  5. Step 5: Solve for x
    x = 664,369,627.27/29,660.18
  6. Step 6: Final answer
    x = 22,399.38

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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.