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Finding the Fourth Proportional to 22,177, 30,604.24 and 14,219.20

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Solution

The fourth proportional to 22,177, 30,604.24 and 14,219.20 is: 19,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177 : 30,604.24 = 14,219.20 : x
  2. Step 2: Convert to fraction form
    22,177/30,604.24 = 14,219.20/x
  3. Step 3: Cross multiply
    22,177x = 30,604.24 × 14,219.20
  4. Step 4: Simplify right side
    22,177x = 435,167,809.41
  5. Step 5: Solve for x
    x = 435,167,809.41/22,177
  6. Step 6: Final answer
    x = 19,622.48

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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.