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Finding the Fourth Proportional to 13,819.69, 20,726.49 and 5,498.16

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Solution

The fourth proportional to 13,819.69, 20,726.49 and 5,498.16 is: 8,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.69 : 20,726.49 = 5,498.16 : x
  2. Step 2: Convert to fraction form
    13,819.69/20,726.49 = 5,498.16/x
  3. Step 3: Cross multiply
    13,819.69x = 20,726.49 × 5,498.16
  4. Step 4: Simplify right side
    13,819.69x = 113,957,558.26
  5. Step 5: Solve for x
    x = 113,957,558.26/13,819.69
  6. Step 6: Final answer
    x = 8,246.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.