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Finding the Fourth Proportional to 20,824.50, 28,737.81 and 11,393.13

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Solution

The fourth proportional to 20,824.50, 28,737.81 and 11,393.13 is: 15,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.50 : 28,737.81 = 11,393.13 : x
  2. Step 2: Convert to fraction form
    20,824.50/28,737.81 = 11,393.13/x
  3. Step 3: Cross multiply
    20,824.50x = 28,737.81 × 11,393.13
  4. Step 4: Simplify right side
    20,824.50x = 327,413,605.25
  5. Step 5: Solve for x
    x = 327,413,605.25/20,824.50
  6. Step 6: Final answer
    x = 15,722.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.