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Finding the Fourth Proportional to 17,221.52, 23,765.72 and 9,667.13

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Solution

The fourth proportional to 17,221.52, 23,765.72 and 9,667.13 is: 13,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.52 : 23,765.72 = 9,667.13 : x
  2. Step 2: Convert to fraction form
    17,221.52/23,765.72 = 9,667.13/x
  3. Step 3: Cross multiply
    17,221.52x = 23,765.72 × 9,667.13
  4. Step 4: Simplify right side
    17,221.52x = 229,746,137.62
  5. Step 5: Solve for x
    x = 229,746,137.62/17,221.52
  6. Step 6: Final answer
    x = 13,340.65

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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.