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Finding the Fourth Proportional to 13,398.68, 20,097.60 and 3,538.01

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Solution

The fourth proportional to 13,398.68, 20,097.60 and 3,538.01 is: 5,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.68 : 20,097.60 = 3,538.01 : x
  2. Step 2: Convert to fraction form
    13,398.68/20,097.60 = 3,538.01/x
  3. Step 3: Cross multiply
    13,398.68x = 20,097.60 × 3,538.01
  4. Step 4: Simplify right side
    13,398.68x = 71,105,409.29
  5. Step 5: Solve for x
    x = 71,105,409.29/13,398.68
  6. Step 6: Final answer
    x = 5,306.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.