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Finding the Fourth Proportional to 16,818.69, 23,209.79 and 9,749.21

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Solution

The fourth proportional to 16,818.69, 23,209.79 and 9,749.21 is: 13,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.69 : 23,209.79 = 9,749.21 : x
  2. Step 2: Convert to fraction form
    16,818.69/23,209.79 = 9,749.21/x
  3. Step 3: Cross multiply
    16,818.69x = 23,209.79 × 9,749.21
  4. Step 4: Simplify right side
    16,818.69x = 226,277,116.77
  5. Step 5: Solve for x
    x = 226,277,116.77/16,818.69
  6. Step 6: Final answer
    x = 13,453.91

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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.