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Finding the Fourth Proportional to 13,701.69, 20,552.47 and 3,313.44

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Solution

The fourth proportional to 13,701.69, 20,552.47 and 3,313.44 is: 4,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.69 : 20,552.47 = 3,313.44 : x
  2. Step 2: Convert to fraction form
    13,701.69/20,552.47 = 3,313.44/x
  3. Step 3: Cross multiply
    13,701.69x = 20,552.47 × 3,313.44
  4. Step 4: Simplify right side
    13,701.69x = 68,099,367.91
  5. Step 5: Solve for x
    x = 68,099,367.91/13,701.69
  6. Step 6: Final answer
    x = 4,970.14

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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.