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Finding the Fourth Proportional to 12,219.70, 18,317.40 and 5,634.40

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Solution

The fourth proportional to 12,219.70, 18,317.40 and 5,634.40 is: 8,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.70 : 18,317.40 = 5,634.40 : x
  2. Step 2: Convert to fraction form
    12,219.70/18,317.40 = 5,634.40/x
  3. Step 3: Cross multiply
    12,219.70x = 18,317.40 × 5,634.40
  4. Step 4: Simplify right side
    12,219.70x = 103,207,558.56
  5. Step 5: Solve for x
    x = 103,207,558.56/12,219.70
  6. Step 6: Final answer
    x = 8,446.00

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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.