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Finding the Fourth Proportional to 16,899.96, 23,321.54 and 9,828.84

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Solution

The fourth proportional to 16,899.96, 23,321.54 and 9,828.84 is: 13,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899.96 : 23,321.54 = 9,828.84 : x
  2. Step 2: Convert to fraction form
    16,899.96/23,321.54 = 9,828.84/x
  3. Step 3: Cross multiply
    16,899.96x = 23,321.54 × 9,828.84
  4. Step 4: Simplify right side
    16,899.96x = 229,223,685.21
  5. Step 5: Solve for x
    x = 229,223,685.21/16,899.96
  6. Step 6: Final answer
    x = 13,563.56

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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.