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Finding the Fourth Proportional to 22,922.82, 34,386.94 and 8,133.20

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Solution

The fourth proportional to 22,922.82, 34,386.94 and 8,133.20 is: 12,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.82 : 34,386.94 = 8,133.20 : x
  2. Step 2: Convert to fraction form
    22,922.82/34,386.94 = 8,133.20/x
  3. Step 3: Cross multiply
    22,922.82x = 34,386.94 × 8,133.20
  4. Step 4: Simplify right side
    22,922.82x = 279,675,860.41
  5. Step 5: Solve for x
    x = 279,675,860.41/22,922.82
  6. Step 6: Final answer
    x = 12,200.76

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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.