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Finding the Fourth Proportional to 22,778.40, 34,202.80 and 12,410.40

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Solution

The fourth proportional to 22,778.40, 34,202.80 and 12,410.40 is: 18,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.40 : 34,202.80 = 12,410.40 : x
  2. Step 2: Convert to fraction form
    22,778.40/34,202.80 = 12,410.40/x
  3. Step 3: Cross multiply
    22,778.40x = 34,202.80 × 12,410.40
  4. Step 4: Simplify right side
    22,778.40x = 424,470,429.12
  5. Step 5: Solve for x
    x = 424,470,429.12/22,778.40
  6. Step 6: Final answer
    x = 18,634.78

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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.