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Finding the Fourth Proportional to 13,398.10, 20,097.14 and 3,538.17

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Solution

The fourth proportional to 13,398.10, 20,097.14 and 3,538.17 is: 5,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.10 : 20,097.14 = 3,538.17 : x
  2. Step 2: Convert to fraction form
    13,398.10/20,097.14 = 3,538.17/x
  3. Step 3: Cross multiply
    13,398.10x = 20,097.14 × 3,538.17
  4. Step 4: Simplify right side
    13,398.10x = 71,107,097.83
  5. Step 5: Solve for x
    x = 71,107,097.83/13,398.10
  6. Step 6: Final answer
    x = 5,307.25

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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.