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Finding the Fourth Proportional to 13,372.67, 20,052.93 and 7,827.41

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Solution

The fourth proportional to 13,372.67, 20,052.93 and 7,827.41 is: 11,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,372.67 : 20,052.93 = 7,827.41 : x
  2. Step 2: Convert to fraction form
    13,372.67/20,052.93 = 7,827.41/x
  3. Step 3: Cross multiply
    13,372.67x = 20,052.93 × 7,827.41
  4. Step 4: Simplify right side
    13,372.67x = 156,962,504.81
  5. Step 5: Solve for x
    x = 156,962,504.81/13,372.67
  6. Step 6: Final answer
    x = 11,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.