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Finding the Fourth Proportional to 22,338.68, 30,825.45 and 12,267

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Solution

The fourth proportional to 22,338.68, 30,825.45 and 12,267 is: 16,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.68 : 30,825.45 = 12,267 : x
  2. Step 2: Convert to fraction form
    22,338.68/30,825.45 = 12,267/x
  3. Step 3: Cross multiply
    22,338.68x = 30,825.45 × 12,267
  4. Step 4: Simplify right side
    22,338.68x = 378,135,795.15
  5. Step 5: Solve for x
    x = 378,135,795.15/22,338.68
  6. Step 6: Final answer
    x = 16,927.40

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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.