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Finding the Fourth Proportional to 23,896.73, 32,978.13 and 13,286.14

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Solution

The fourth proportional to 23,896.73, 32,978.13 and 13,286.14 is: 18,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.73 : 32,978.13 = 13,286.14 : x
  2. Step 2: Convert to fraction form
    23,896.73/32,978.13 = 13,286.14/x
  3. Step 3: Cross multiply
    23,896.73x = 32,978.13 × 13,286.14
  4. Step 4: Simplify right side
    23,896.73x = 438,152,052.12
  5. Step 5: Solve for x
    x = 438,152,052.12/23,896.73
  6. Step 6: Final answer
    x = 18,335.23

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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.