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Finding the Fourth Proportional to 23,357.70, 32,233.41 and 12,747.09

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Solution

The fourth proportional to 23,357.70, 32,233.41 and 12,747.09 is: 17,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.70 : 32,233.41 = 12,747.09 : x
  2. Step 2: Convert to fraction form
    23,357.70/32,233.41 = 12,747.09/x
  3. Step 3: Cross multiply
    23,357.70x = 32,233.41 × 12,747.09
  4. Step 4: Simplify right side
    23,357.70x = 410,882,178.28
  5. Step 5: Solve for x
    x = 410,882,178.28/23,357.70
  6. Step 6: Final answer
    x = 17,590.87

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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.