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Finding the Fourth Proportional to 12,229.94, 18,349.77 and 5,659.22

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Solution

The fourth proportional to 12,229.94, 18,349.77 and 5,659.22 is: 8,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.94 : 18,349.77 = 5,659.22 : x
  2. Step 2: Convert to fraction form
    12,229.94/18,349.77 = 5,659.22/x
  3. Step 3: Cross multiply
    12,229.94x = 18,349.77 × 5,659.22
  4. Step 4: Simplify right side
    12,229.94x = 103,845,385.38
  5. Step 5: Solve for x
    x = 103,845,385.38/12,229.94
  6. Step 6: Final answer
    x = 8,491.08

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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.