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Finding the Fourth Proportional to 13,791.72, 20,683.46 and 5,024.58

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Solution

The fourth proportional to 13,791.72, 20,683.46 and 5,024.58 is: 7,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.72 : 20,683.46 = 5,024.58 : x
  2. Step 2: Convert to fraction form
    13,791.72/20,683.46 = 5,024.58/x
  3. Step 3: Cross multiply
    13,791.72x = 20,683.46 × 5,024.58
  4. Step 4: Simplify right side
    13,791.72x = 103,925,674.32
  5. Step 5: Solve for x
    x = 103,925,674.32/13,791.72
  6. Step 6: Final answer
    x = 7,535.37

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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.