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Finding the Fourth Proportional to 23,201.66, 32,018.27 and 12,591.30

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Solution

The fourth proportional to 23,201.66, 32,018.27 and 12,591.30 is: 17,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.66 : 32,018.27 = 12,591.30 : x
  2. Step 2: Convert to fraction form
    23,201.66/32,018.27 = 12,591.30/x
  3. Step 3: Cross multiply
    23,201.66x = 32,018.27 × 12,591.30
  4. Step 4: Simplify right side
    23,201.66x = 403,151,590.89
  5. Step 5: Solve for x
    x = 403,151,590.89/23,201.66
  6. Step 6: Final answer
    x = 17,375.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.