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Finding the Fourth Proportional to 11,161.40, 16,742.10 and 9,433.40

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Solution

The fourth proportional to 11,161.40, 16,742.10 and 9,433.40 is: 14,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.40 : 16,742.10 = 9,433.40 : x
  2. Step 2: Convert to fraction form
    11,161.40/16,742.10 = 9,433.40/x
  3. Step 3: Cross multiply
    11,161.40x = 16,742.10 × 9,433.40
  4. Step 4: Simplify right side
    11,161.40x = 157,934,926.14
  5. Step 5: Solve for x
    x = 157,934,926.14/11,161.40
  6. Step 6: Final answer
    x = 14,150.10

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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.