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Finding the Fourth Proportional to 13,473.84, 20,212.92 and 5,683.80

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Solution

The fourth proportional to 13,473.84, 20,212.92 and 5,683.80 is: 8,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.84 : 20,212.92 = 5,683.80 : x
  2. Step 2: Convert to fraction form
    13,473.84/20,212.92 = 5,683.80/x
  3. Step 3: Cross multiply
    13,473.84x = 20,212.92 × 5,683.80
  4. Step 4: Simplify right side
    13,473.84x = 114,886,194.70
  5. Step 5: Solve for x
    x = 114,886,194.70/13,473.84
  6. Step 6: Final answer
    x = 8,526.61

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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.