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Finding the Fourth Proportional to 12,223.94, 18,332.96 and 5,643.80

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Solution

The fourth proportional to 12,223.94, 18,332.96 and 5,643.80 is: 8,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.94 : 18,332.96 = 5,643.80 : x
  2. Step 2: Convert to fraction form
    12,223.94/18,332.96 = 5,643.80/x
  3. Step 3: Cross multiply
    12,223.94x = 18,332.96 × 5,643.80
  4. Step 4: Simplify right side
    12,223.94x = 103,467,559.65
  5. Step 5: Solve for x
    x = 103,467,559.65/12,223.94
  6. Step 6: Final answer
    x = 8,464.34

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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.