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Finding the Fourth Proportional to 16,538.73, 22,823.48 and 8,984.99

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Solution

The fourth proportional to 16,538.73, 22,823.48 and 8,984.99 is: 12,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.73 : 22,823.48 = 8,984.99 : x
  2. Step 2: Convert to fraction form
    16,538.73/22,823.48 = 8,984.99/x
  3. Step 3: Cross multiply
    16,538.73x = 22,823.48 × 8,984.99
  4. Step 4: Simplify right side
    16,538.73x = 205,068,819.09
  5. Step 5: Solve for x
    x = 205,068,819.09/16,538.73
  6. Step 6: Final answer
    x = 12,399.31

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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.