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Finding the Fourth Proportional to 22,618.76, 33,930.46 and 7,827.65

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Solution

The fourth proportional to 22,618.76, 33,930.46 and 7,827.65 is: 11,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.76 : 33,930.46 = 7,827.65 : x
  2. Step 2: Convert to fraction form
    22,618.76/33,930.46 = 7,827.65/x
  3. Step 3: Cross multiply
    22,618.76x = 33,930.46 × 7,827.65
  4. Step 4: Simplify right side
    22,618.76x = 265,595,765.22
  5. Step 5: Solve for x
    x = 265,595,765.22/22,618.76
  6. Step 6: Final answer
    x = 11,742.28

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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.