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Finding the Fourth Proportional to 22,374.80, 30,871.72 and 13,422.96

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Solution

The fourth proportional to 22,374.80, 30,871.72 and 13,422.96 is: 18,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.80 : 30,871.72 = 13,422.96 : x
  2. Step 2: Convert to fraction form
    22,374.80/30,871.72 = 13,422.96/x
  3. Step 3: Cross multiply
    22,374.80x = 30,871.72 × 13,422.96
  4. Step 4: Simplify right side
    22,374.80x = 414,389,862.69
  5. Step 5: Solve for x
    x = 414,389,862.69/22,374.80
  6. Step 6: Final answer
    x = 18,520.38

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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.