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Finding the Fourth Proportional to 13,478.44, 20,212.80 and 5,683

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Solution

The fourth proportional to 13,478.44, 20,212.80 and 5,683 is: 8,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.44 : 20,212.80 = 5,683 : x
  2. Step 2: Convert to fraction form
    13,478.44/20,212.80 = 5,683/x
  3. Step 3: Cross multiply
    13,478.44x = 20,212.80 × 5,683
  4. Step 4: Simplify right side
    13,478.44x = 114,869,342.40
  5. Step 5: Solve for x
    x = 114,869,342.40/13,478.44
  6. Step 6: Final answer
    x = 8,522.45

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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.