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Finding the Fourth Proportional to 17,227.79, 23,770.28 and 9,775.79

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Solution

The fourth proportional to 17,227.79, 23,770.28 and 9,775.79 is: 13,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.79 : 23,770.28 = 9,775.79 : x
  2. Step 2: Convert to fraction form
    17,227.79/23,770.28 = 9,775.79/x
  3. Step 3: Cross multiply
    17,227.79x = 23,770.28 × 9,775.79
  4. Step 4: Simplify right side
    17,227.79x = 232,373,097.79
  5. Step 5: Solve for x
    x = 232,373,097.79/17,227.79
  6. Step 6: Final answer
    x = 13,488.27

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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.