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Finding the Fourth Proportional to 22,348, 30,841.05 and 12,277.38

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Solution

The fourth proportional to 22,348, 30,841.05 and 12,277.38 is: 16,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348 : 30,841.05 = 12,277.38 : x
  2. Step 2: Convert to fraction form
    22,348/30,841.05 = 12,277.38/x
  3. Step 3: Cross multiply
    22,348x = 30,841.05 × 12,277.38
  4. Step 4: Simplify right side
    22,348x = 378,647,290.45
  5. Step 5: Solve for x
    x = 378,647,290.45/22,348
  6. Step 6: Final answer
    x = 16,943.23

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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.