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Finding the Fourth Proportional to 20,824.61, 28,737.89 and 11,393.16

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Solution

The fourth proportional to 20,824.61, 28,737.89 and 11,393.16 is: 15,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.61 : 28,737.89 = 11,393.16 : x
  2. Step 2: Convert to fraction form
    20,824.61/28,737.89 = 11,393.16/x
  3. Step 3: Cross multiply
    20,824.61x = 28,737.89 × 11,393.16
  4. Step 4: Simplify right side
    20,824.61x = 327,415,321.87
  5. Step 5: Solve for x
    x = 327,415,321.87/20,824.61
  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.