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Finding the Fourth Proportional to 23,201.39, 32,018 and 12,591.02

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Solution

The fourth proportional to 23,201.39, 32,018 and 12,591.02 is: 17,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.39 : 32,018 = 12,591.02 : x
  2. Step 2: Convert to fraction form
    23,201.39/32,018 = 12,591.02/x
  3. Step 3: Cross multiply
    23,201.39x = 32,018 × 12,591.02
  4. Step 4: Simplify right side
    23,201.39x = 403,139,278.36
  5. Step 5: Solve for x
    x = 403,139,278.36/23,201.39
  6. Step 6: Final answer
    x = 17,375.65

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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.