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Finding the Fourth Proportional to 17,235.88, 23,782.92 and 9,680.76

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Solution

The fourth proportional to 17,235.88, 23,782.92 and 9,680.76 is: 13,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.88 : 23,782.92 = 9,680.76 : x
  2. Step 2: Convert to fraction form
    17,235.88/23,782.92 = 9,680.76/x
  3. Step 3: Cross multiply
    17,235.88x = 23,782.92 × 9,680.76
  4. Step 4: Simplify right side
    17,235.88x = 230,236,740.62
  5. Step 5: Solve for x
    x = 230,236,740.62/17,235.88
  6. Step 6: Final answer
    x = 13,357.99

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Half scale
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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.