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Finding the Fourth Proportional to 12,229.44, 18,349.02 and 5,658.72

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Solution

The fourth proportional to 12,229.44, 18,349.02 and 5,658.72 is: 8,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.44 : 18,349.02 = 5,658.72 : x
  2. Step 2: Convert to fraction form
    12,229.44/18,349.02 = 5,658.72/x
  3. Step 3: Cross multiply
    12,229.44x = 18,349.02 × 5,658.72
  4. Step 4: Simplify right side
    12,229.44x = 103,831,966.45
  5. Step 5: Solve for x
    x = 103,831,966.45/12,229.44
  6. Step 6: Final answer
    x = 8,490.33

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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.