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Finding the Fourth Proportional to 23,808.70, 32,856.20 and 13,198.33

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Solution

The fourth proportional to 23,808.70, 32,856.20 and 13,198.33 is: 18,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.70 : 32,856.20 = 13,198.33 : x
  2. Step 2: Convert to fraction form
    23,808.70/32,856.20 = 13,198.33/x
  3. Step 3: Cross multiply
    23,808.70x = 32,856.20 × 13,198.33
  4. Step 4: Simplify right side
    23,808.70x = 433,646,970.15
  5. Step 5: Solve for x
    x = 433,646,970.15/23,808.70
  6. Step 6: Final answer
    x = 18,213.80

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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.