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Finding the Fourth Proportional to 16,820.57, 23,212.09 and 9,747.65

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Solution

The fourth proportional to 16,820.57, 23,212.09 and 9,747.65 is: 13,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.57 : 23,212.09 = 9,747.65 : x
  2. Step 2: Convert to fraction form
    16,820.57/23,212.09 = 9,747.65/x
  3. Step 3: Cross multiply
    16,820.57x = 23,212.09 × 9,747.65
  4. Step 4: Simplify right side
    16,820.57x = 226,263,329.09
  5. Step 5: Solve for x
    x = 226,263,329.09/16,820.57
  6. Step 6: Final answer
    x = 13,451.59

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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.