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Finding the Fourth Proportional to 22,505.40, 33,758.10 and 10,217.40

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Solution

The fourth proportional to 22,505.40, 33,758.10 and 10,217.40 is: 15,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.40 : 33,758.10 = 10,217.40 : x
  2. Step 2: Convert to fraction form
    22,505.40/33,758.10 = 10,217.40/x
  3. Step 3: Cross multiply
    22,505.40x = 33,758.10 × 10,217.40
  4. Step 4: Simplify right side
    22,505.40x = 344,920,010.94
  5. Step 5: Solve for x
    x = 344,920,010.94/22,505.40
  6. Step 6: Final answer
    x = 15,326.10

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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.