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Finding the Fourth Proportional to 17,217, 23,759.46 and 9,765

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Solution

The fourth proportional to 17,217, 23,759.46 and 9,765 is: 13,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217 : 23,759.46 = 9,765 : x
  2. Step 2: Convert to fraction form
    17,217/23,759.46 = 9,765/x
  3. Step 3: Cross multiply
    17,217x = 23,759.46 × 9,765
  4. Step 4: Simplify right side
    17,217x = 232,011,126.90
  5. Step 5: Solve for x
    x = 232,011,126.90/17,217
  6. Step 6: Final answer
    x = 13,475.70

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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.