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Finding the Fourth Proportional to 22,982.42, 34,465.11 and 8,187.41

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Solution

The fourth proportional to 22,982.42, 34,465.11 and 8,187.41 is: 12,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.42 : 34,465.11 = 8,187.41 : x
  2. Step 2: Convert to fraction form
    22,982.42/34,465.11 = 8,187.41/x
  3. Step 3: Cross multiply
    22,982.42x = 34,465.11 × 8,187.41
  4. Step 4: Simplify right side
    22,982.42x = 282,179,986.27
  5. Step 5: Solve for x
    x = 282,179,986.27/22,982.42
  6. Step 6: Final answer
    x = 12,278.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.