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Finding the Fourth Proportional to 22,604.70, 33,915.24 and 13,738.17

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Solution

The fourth proportional to 22,604.70, 33,915.24 and 13,738.17 is: 20,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.70 : 33,915.24 = 13,738.17 : x
  2. Step 2: Convert to fraction form
    22,604.70/33,915.24 = 13,738.17/x
  3. Step 3: Cross multiply
    22,604.70x = 33,915.24 × 13,738.17
  4. Step 4: Simplify right side
    22,604.70x = 465,933,332.71
  5. Step 5: Solve for x
    x = 465,933,332.71/22,604.70
  6. Step 6: Final answer
    x = 20,612.23

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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.