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Finding the Fourth Proportional to 16,537.92, 22,822.44 and 8,984.31

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Solution

The fourth proportional to 16,537.92, 22,822.44 and 8,984.31 is: 12,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.92 : 22,822.44 = 8,984.31 : x
  2. Step 2: Convert to fraction form
    16,537.92/22,822.44 = 8,984.31/x
  3. Step 3: Cross multiply
    16,537.92x = 22,822.44 × 8,984.31
  4. Step 4: Simplify right side
    16,537.92x = 205,043,875.92
  5. Step 5: Solve for x
    x = 205,043,875.92/16,537.92
  6. Step 6: Final answer
    x = 12,398.41

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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.