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Finding the Fourth Proportional to 23,201.98, 32,019.35 and 12,591.61

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Solution

The fourth proportional to 23,201.98, 32,019.35 and 12,591.61 is: 17,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.98 : 32,019.35 = 12,591.61 : x
  2. Step 2: Convert to fraction form
    23,201.98/32,019.35 = 12,591.61/x
  3. Step 3: Cross multiply
    23,201.98x = 32,019.35 × 12,591.61
  4. Step 4: Simplify right side
    23,201.98x = 403,175,024.65
  5. Step 5: Solve for x
    x = 403,175,024.65/23,201.98
  6. Step 6: Final answer
    x = 17,376.75

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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.