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Finding the Fourth Proportional to 11,828.62, 16,324.70 and 8,839.32

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Solution

The fourth proportional to 11,828.62, 16,324.70 and 8,839.32 is: 12,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.62 : 16,324.70 = 8,839.32 : x
  2. Step 2: Convert to fraction form
    11,828.62/16,324.70 = 8,839.32/x
  3. Step 3: Cross multiply
    11,828.62x = 16,324.70 × 8,839.32
  4. Step 4: Simplify right side
    11,828.62x = 144,299,247.20
  5. Step 5: Solve for x
    x = 144,299,247.20/11,828.62
  6. Step 6: Final answer
    x = 12,199.16

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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.