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Finding the Fourth Proportional to 22,701.40, 34,041.70 and 12,169.80

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Solution

The fourth proportional to 22,701.40, 34,041.70 and 12,169.80 is: 18,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.40 : 34,041.70 = 12,169.80 : x
  2. Step 2: Convert to fraction form
    22,701.40/34,041.70 = 12,169.80/x
  3. Step 3: Cross multiply
    22,701.40x = 34,041.70 × 12,169.80
  4. Step 4: Simplify right side
    22,701.40x = 414,280,680.66
  5. Step 5: Solve for x
    x = 414,280,680.66/22,701.40
  6. Step 6: Final answer
    x = 18,249.12

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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.