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Finding the Fourth Proportional to 13,788.69, 20,656.92 and 8,149.50

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Solution

The fourth proportional to 13,788.69, 20,656.92 and 8,149.50 is: 12,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.69 : 20,656.92 = 8,149.50 : x
  2. Step 2: Convert to fraction form
    13,788.69/20,656.92 = 8,149.50/x
  3. Step 3: Cross multiply
    13,788.69x = 20,656.92 × 8,149.50
  4. Step 4: Simplify right side
    13,788.69x = 168,343,569.54
  5. Step 5: Solve for x
    x = 168,343,569.54/13,788.69
  6. Step 6: Final answer
    x = 12,208.82

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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.