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Finding the Fourth Proportional to 11,238.40, 16,824.32 and 8,329.76

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Solution

The fourth proportional to 11,238.40, 16,824.32 and 8,329.76 is: 12,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.40 : 16,824.32 = 8,329.76 : x
  2. Step 2: Convert to fraction form
    11,238.40/16,824.32 = 8,329.76/x
  3. Step 3: Cross multiply
    11,238.40x = 16,824.32 × 8,329.76
  4. Step 4: Simplify right side
    11,238.40x = 140,142,547.76
  5. Step 5: Solve for x
    x = 140,142,547.76/11,238.40
  6. Step 6: Final answer
    x = 12,469.97

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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.