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Finding the Fourth Proportional to 17,132.88, 23,640.69 and 9,964.38

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Solution

The fourth proportional to 17,132.88, 23,640.69 and 9,964.38 is: 13,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.88 : 23,640.69 = 9,964.38 : x
  2. Step 2: Convert to fraction form
    17,132.88/23,640.69 = 9,964.38/x
  3. Step 3: Cross multiply
    17,132.88x = 23,640.69 × 9,964.38
  4. Step 4: Simplify right side
    17,132.88x = 235,564,818.62
  5. Step 5: Solve for x
    x = 235,564,818.62/17,132.88
  6. Step 6: Final answer
    x = 13,749.28

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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.