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Finding the Fourth Proportional to 23,201.85, 32,018.64 and 12,591.48

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Solution

The fourth proportional to 23,201.85, 32,018.64 and 12,591.48 is: 17,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.85 : 32,018.64 = 12,591.48 : x
  2. Step 2: Convert to fraction form
    23,201.85/32,018.64 = 12,591.48/x
  3. Step 3: Cross multiply
    23,201.85x = 32,018.64 × 12,591.48
  4. Step 4: Simplify right side
    23,201.85x = 403,162,065.19
  5. Step 5: Solve for x
    x = 403,162,065.19/23,201.85
  6. Step 6: Final answer
    x = 17,376.29

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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.