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Finding the Fourth Proportional to 11,622.40, 17,422.80 and 8,112.40

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Solution

The fourth proportional to 11,622.40, 17,422.80 and 8,112.40 is: 12,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.40 : 17,422.80 = 8,112.40 : x
  2. Step 2: Convert to fraction form
    11,622.40/17,422.80 = 8,112.40/x
  3. Step 3: Cross multiply
    11,622.40x = 17,422.80 × 8,112.40
  4. Step 4: Simplify right side
    11,622.40x = 141,340,722.72
  5. Step 5: Solve for x
    x = 141,340,722.72/11,622.40
  6. Step 6: Final answer
    x = 12,161.06

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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.