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Finding the Fourth Proportional to 12,244.19, 18,363.31 and 5,664.08

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Solution

The fourth proportional to 12,244.19, 18,363.31 and 5,664.08 is: 8,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.19 : 18,363.31 = 5,664.08 : x
  2. Step 2: Convert to fraction form
    12,244.19/18,363.31 = 5,664.08/x
  3. Step 3: Cross multiply
    12,244.19x = 18,363.31 × 5,664.08
  4. Step 4: Simplify right side
    12,244.19x = 104,011,288.65
  5. Step 5: Solve for x
    x = 104,011,288.65/12,244.19
  6. Step 6: Final answer
    x = 8,494.75

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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.