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Finding the Fourth Proportional to 16,500.78, 22,767.89 and 9,792.36

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Solution

The fourth proportional to 16,500.78, 22,767.89 and 9,792.36 is: 13,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.78 : 22,767.89 = 9,792.36 : x
  2. Step 2: Convert to fraction form
    16,500.78/22,767.89 = 9,792.36/x
  3. Step 3: Cross multiply
    16,500.78x = 22,767.89 × 9,792.36
  4. Step 4: Simplify right side
    16,500.78x = 222,951,326.36
  5. Step 5: Solve for x
    x = 222,951,326.36/16,500.78
  6. Step 6: Final answer
    x = 13,511.56

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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.