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Finding the Fourth Proportional to 23,772.30, 32,770.83 and 18,097.16

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Solution

The fourth proportional to 23,772.30, 32,770.83 and 18,097.16 is: 24,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.30 : 32,770.83 = 18,097.16 : x
  2. Step 2: Convert to fraction form
    23,772.30/32,770.83 = 18,097.16/x
  3. Step 3: Cross multiply
    23,772.30x = 32,770.83 × 18,097.16
  4. Step 4: Simplify right side
    23,772.30x = 593,058,789.99
  5. Step 5: Solve for x
    x = 593,058,789.99/23,772.30
  6. Step 6: Final answer
    x = 24,947.47

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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.