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Finding the Fourth Proportional to 23,202.78, 32,019.85 and 12,592.41

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Solution

The fourth proportional to 23,202.78, 32,019.85 and 12,592.41 is: 17,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.78 : 32,019.85 = 12,592.41 : x
  2. Step 2: Convert to fraction form
    23,202.78/32,019.85 = 12,592.41/x
  3. Step 3: Cross multiply
    23,202.78x = 32,019.85 × 12,592.41
  4. Step 4: Simplify right side
    23,202.78x = 403,207,190.87
  5. Step 5: Solve for x
    x = 403,207,190.87/23,202.78
  6. Step 6: Final answer
    x = 17,377.54

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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.