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Finding the Fourth Proportional to 17,227.66, 23,770.11 and 9,775.66

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Solution

The fourth proportional to 17,227.66, 23,770.11 and 9,775.66 is: 13,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.66 : 23,770.11 = 9,775.66 : x
  2. Step 2: Convert to fraction form
    17,227.66/23,770.11 = 9,775.66/x
  3. Step 3: Cross multiply
    17,227.66x = 23,770.11 × 9,775.66
  4. Step 4: Simplify right side
    17,227.66x = 232,368,513.52
  5. Step 5: Solve for x
    x = 232,368,513.52/17,227.66
  6. Step 6: Final answer
    x = 13,488.11

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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.