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Finding the Fourth Proportional to 17,286.84, 23,856.26 and 9,733.42

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Solution

The fourth proportional to 17,286.84, 23,856.26 and 9,733.42 is: 13,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.84 : 23,856.26 = 9,733.42 : x
  2. Step 2: Convert to fraction form
    17,286.84/23,856.26 = 9,733.42/x
  3. Step 3: Cross multiply
    17,286.84x = 23,856.26 × 9,733.42
  4. Step 4: Simplify right side
    17,286.84x = 232,202,979.36
  5. Step 5: Solve for x
    x = 232,202,979.36/17,286.84
  6. Step 6: Final answer
    x = 13,432.36

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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.