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Finding the Fourth Proportional to 16,820.84, 23,212.42 and 9,747.08

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Solution

The fourth proportional to 16,820.84, 23,212.42 and 9,747.08 is: 13,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.84 : 23,212.42 = 9,747.08 : x
  2. Step 2: Convert to fraction form
    16,820.84/23,212.42 = 9,747.08/x
  3. Step 3: Cross multiply
    16,820.84x = 23,212.42 × 9,747.08
  4. Step 4: Simplify right side
    16,820.84x = 226,253,314.73
  5. Step 5: Solve for x
    x = 226,253,314.73/16,820.84
  6. Step 6: Final answer
    x = 13,450.77

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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.