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Finding the Fourth Proportional to 11,405.42, 17,078.27 and 9,172.38

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Solution

The fourth proportional to 11,405.42, 17,078.27 and 9,172.38 is: 13,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.42 : 17,078.27 = 9,172.38 : x
  2. Step 2: Convert to fraction form
    11,405.42/17,078.27 = 9,172.38/x
  3. Step 3: Cross multiply
    11,405.42x = 17,078.27 × 9,172.38
  4. Step 4: Simplify right side
    11,405.42x = 156,648,382.18
  5. Step 5: Solve for x
    x = 156,648,382.18/11,405.42
  6. Step 6: Final answer
    x = 13,734.56

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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.