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Finding the Fourth Proportional to 22,604.46, 31,193.79 and 12,395.46

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Solution

The fourth proportional to 22,604.46, 31,193.79 and 12,395.46 is: 17,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.46 : 31,193.79 = 12,395.46 : x
  2. Step 2: Convert to fraction form
    22,604.46/31,193.79 = 12,395.46/x
  3. Step 3: Cross multiply
    22,604.46x = 31,193.79 × 12,395.46
  4. Step 4: Simplify right side
    22,604.46x = 386,661,376.19
  5. Step 5: Solve for x
    x = 386,661,376.19/22,604.46
  6. Step 6: Final answer
    x = 17,105.53

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1.5x scale

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.