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Finding the Fourth Proportional to 13,474.74, 20,214.82 and 5,683.52

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Solution

The fourth proportional to 13,474.74, 20,214.82 and 5,683.52 is: 8,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.74 : 20,214.82 = 5,683.52 : x
  2. Step 2: Convert to fraction form
    13,474.74/20,214.82 = 5,683.52/x
  3. Step 3: Cross multiply
    13,474.74x = 20,214.82 × 5,683.52
  4. Step 4: Simplify right side
    13,474.74x = 114,891,333.77
  5. Step 5: Solve for x
    x = 114,891,333.77/13,474.74
  6. Step 6: Final answer
    x = 8,526.42

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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.