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Finding the Fourth Proportional to 23,808.87, 32,854.68 and 13,198.14

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Solution

The fourth proportional to 23,808.87, 32,854.68 and 13,198.14 is: 18,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.87 : 32,854.68 = 13,198.14 : x
  2. Step 2: Convert to fraction form
    23,808.87/32,854.68 = 13,198.14/x
  3. Step 3: Cross multiply
    23,808.87x = 32,854.68 × 13,198.14
  4. Step 4: Simplify right side
    23,808.87x = 433,620,666.30
  5. Step 5: Solve for x
    x = 433,620,666.30/23,808.87
  6. Step 6: Final answer
    x = 18,212.57

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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.