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Finding the Fourth Proportional to 22,977.20, 34,465.80 and 8,202.80

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Solution

The fourth proportional to 22,977.20, 34,465.80 and 8,202.80 is: 12,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.20 : 34,465.80 = 8,202.80 : x
  2. Step 2: Convert to fraction form
    22,977.20/34,465.80 = 8,202.80/x
  3. Step 3: Cross multiply
    22,977.20x = 34,465.80 × 8,202.80
  4. Step 4: Simplify right side
    22,977.20x = 282,716,064.24
  5. Step 5: Solve for x
    x = 282,716,064.24/22,977.20
  6. Step 6: Final answer
    x = 12,304.20

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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.