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Finding the Fourth Proportional to 16,818.57, 23,209.34 and 9,745.65

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Solution

The fourth proportional to 16,818.57, 23,209.34 and 9,745.65 is: 13,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.57 : 23,209.34 = 9,745.65 : x
  2. Step 2: Convert to fraction form
    16,818.57/23,209.34 = 9,745.65/x
  3. Step 3: Cross multiply
    16,818.57x = 23,209.34 × 9,745.65
  4. Step 4: Simplify right side
    16,818.57x = 226,190,055.64
  5. Step 5: Solve for x
    x = 226,190,055.64/16,818.57
  6. Step 6: Final answer
    x = 13,448.83

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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.