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Finding the Fourth Proportional to 12,223.20, 16,881.76 and 8,260.64

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Solution

The fourth proportional to 12,223.20, 16,881.76 and 8,260.64 is: 11,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.20 : 16,881.76 = 8,260.64 : x
  2. Step 2: Convert to fraction form
    12,223.20/16,881.76 = 8,260.64/x
  3. Step 3: Cross multiply
    12,223.20x = 16,881.76 × 8,260.64
  4. Step 4: Simplify right side
    12,223.20x = 139,454,141.93
  5. Step 5: Solve for x
    x = 139,454,141.93/12,223.20
  6. Step 6: Final answer
    x = 11,408.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.