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Finding the Fourth Proportional to 20,712.53, 28,584 and 11,759.73

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Solution

The fourth proportional to 20,712.53, 28,584 and 11,759.73 is: 16,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.53 : 28,584 = 11,759.73 : x
  2. Step 2: Convert to fraction form
    20,712.53/28,584 = 11,759.73/x
  3. Step 3: Cross multiply
    20,712.53x = 28,584 × 11,759.73
  4. Step 4: Simplify right side
    20,712.53x = 336,140,122.32
  5. Step 5: Solve for x
    x = 336,140,122.32/20,712.53
  6. Step 6: Final answer
    x = 16,228.83

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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.