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Finding the Fourth Proportional to 29,655.30, 40,923.60 and 16,226.66

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Solution

The fourth proportional to 29,655.30, 40,923.60 and 16,226.66 is: 22,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,655.30 : 40,923.60 = 16,226.66 : x
  2. Step 2: Convert to fraction form
    29,655.30/40,923.60 = 16,226.66/x
  3. Step 3: Cross multiply
    29,655.30x = 40,923.60 × 16,226.66
  4. Step 4: Simplify right side
    29,655.30x = 664,053,138.56
  5. Step 5: Solve for x
    x = 664,053,138.56/29,655.30
  6. Step 6: Final answer
    x = 22,392.39

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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.