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Finding the Fourth Proportional to 17,202, 23,738.76 and 9,750

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Solution

The fourth proportional to 17,202, 23,738.76 and 9,750 is: 13,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202 : 23,738.76 = 9,750 : x
  2. Step 2: Convert to fraction form
    17,202/23,738.76 = 9,750/x
  3. Step 3: Cross multiply
    17,202x = 23,738.76 × 9,750
  4. Step 4: Simplify right side
    17,202x = 231,452,910.00
  5. Step 5: Solve for x
    x = 231,452,910.00/17,202
  6. Step 6: Final answer
    x = 13,455.00

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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.