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Finding the Fourth Proportional to 17,219.52, 23,762.70 and 9,666

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Solution

The fourth proportional to 17,219.52, 23,762.70 and 9,666 is: 13,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.52 : 23,762.70 = 9,666 : x
  2. Step 2: Convert to fraction form
    17,219.52/23,762.70 = 9,666/x
  3. Step 3: Cross multiply
    17,219.52x = 23,762.70 × 9,666
  4. Step 4: Simplify right side
    17,219.52x = 229,690,258.20
  5. Step 5: Solve for x
    x = 229,690,258.20/17,219.52
  6. Step 6: Final answer
    x = 13,338.95

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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.