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Finding the Fourth Proportional to 12,819.84, 19,229.76 and 7,344

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Solution

The fourth proportional to 12,819.84, 19,229.76 and 7,344 is: 11,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.84 : 19,229.76 = 7,344 : x
  2. Step 2: Convert to fraction form
    12,819.84/19,229.76 = 7,344/x
  3. Step 3: Cross multiply
    12,819.84x = 19,229.76 × 7,344
  4. Step 4: Simplify right side
    12,819.84x = 141,223,357.44
  5. Step 5: Solve for x
    x = 141,223,357.44/12,819.84
  6. Step 6: Final answer
    x = 11,016

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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.