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Finding the Fourth Proportional to 23,808.60, 32,856.89 and 13,198.23

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Solution

The fourth proportional to 23,808.60, 32,856.89 and 13,198.23 is: 18,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.60 : 32,856.89 = 13,198.23 : x
  2. Step 2: Convert to fraction form
    23,808.60/32,856.89 = 13,198.23/x
  3. Step 3: Cross multiply
    23,808.60x = 32,856.89 × 13,198.23
  4. Step 4: Simplify right side
    23,808.60x = 433,652,725.31
  5. Step 5: Solve for x
    x = 433,652,725.31/23,808.60
  6. Step 6: Final answer
    x = 18,214.12

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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.