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Finding the Fourth Proportional to 17,287.74, 23,856.63 and 9,835.74

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Solution

The fourth proportional to 17,287.74, 23,856.63 and 9,835.74 is: 13,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.74 : 23,856.63 = 9,835.74 : x
  2. Step 2: Convert to fraction form
    17,287.74/23,856.63 = 9,835.74/x
  3. Step 3: Cross multiply
    17,287.74x = 23,856.63 × 9,835.74
  4. Step 4: Simplify right side
    17,287.74x = 234,647,609.96
  5. Step 5: Solve for x
    x = 234,647,609.96/17,287.74
  6. Step 6: Final answer
    x = 13,573.06

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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.