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Finding the Fourth Proportional to 18,929.68, 28,383.36 and 7,823.92

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Solution

The fourth proportional to 18,929.68, 28,383.36 and 7,823.92 is: 11,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,929.68 : 28,383.36 = 7,823.92 : x
  2. Step 2: Convert to fraction form
    18,929.68/28,383.36 = 7,823.92/x
  3. Step 3: Cross multiply
    18,929.68x = 28,383.36 × 7,823.92
  4. Step 4: Simplify right side
    18,929.68x = 222,069,137.97
  5. Step 5: Solve for x
    x = 222,069,137.97/18,929.68
  6. Step 6: Final answer
    x = 11,731.27

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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.