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Finding the Fourth Proportional to 11,407.18, 17,119.46 and 9,191.43

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Solution

The fourth proportional to 11,407.18, 17,119.46 and 9,191.43 is: 13,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.18 : 17,119.46 = 9,191.43 : x
  2. Step 2: Convert to fraction form
    11,407.18/17,119.46 = 9,191.43/x
  3. Step 3: Cross multiply
    11,407.18x = 17,119.46 × 9,191.43
  4. Step 4: Simplify right side
    11,407.18x = 157,352,318.23
  5. Step 5: Solve for x
    x = 157,352,318.23/11,407.18
  6. Step 6: Final answer
    x = 13,794.15

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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.