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Finding the Fourth Proportional to 22,270.50, 33,376.50 and 12,414.42

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Solution

The fourth proportional to 22,270.50, 33,376.50 and 12,414.42 is: 18,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.50 : 33,376.50 = 12,414.42 : x
  2. Step 2: Convert to fraction form
    22,270.50/33,376.50 = 12,414.42/x
  3. Step 3: Cross multiply
    22,270.50x = 33,376.50 × 12,414.42
  4. Step 4: Simplify right side
    22,270.50x = 414,349,889.13
  5. Step 5: Solve for x
    x = 414,349,889.13/22,270.50
  6. Step 6: Final answer
    x = 18,605.32

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1.5x scale

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.