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Finding the Fourth Proportional to 13,605.38, 20,405.94 and 6,107.40

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Solution

The fourth proportional to 13,605.38, 20,405.94 and 6,107.40 is: 9,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.38 : 20,405.94 = 6,107.40 : x
  2. Step 2: Convert to fraction form
    13,605.38/20,405.94 = 6,107.40/x
  3. Step 3: Cross multiply
    13,605.38x = 20,405.94 × 6,107.40
  4. Step 4: Simplify right side
    13,605.38x = 124,627,215.05
  5. Step 5: Solve for x
    x = 124,627,215.05/13,605.38
  6. Step 6: Final answer
    x = 9,160.14

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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.