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Finding the Fourth Proportional to 23,897.52, 32,978.34 and 13,286.88

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Solution

The fourth proportional to 23,897.52, 32,978.34 and 13,286.88 is: 18,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.52 : 32,978.34 = 13,286.88 : x
  2. Step 2: Convert to fraction form
    23,897.52/32,978.34 = 13,286.88/x
  3. Step 3: Cross multiply
    23,897.52x = 32,978.34 × 13,286.88
  4. Step 4: Simplify right side
    23,897.52x = 438,179,246.18
  5. Step 5: Solve for x
    x = 438,179,246.18/23,897.52
  6. Step 6: Final answer
    x = 18,335.76

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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.