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Finding the Fourth Proportional to 20,902.96, 31,468.51 and 19,065.88

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Solution

The fourth proportional to 20,902.96, 31,468.51 and 19,065.88 is: 28,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.96 : 31,468.51 = 19,065.88 : x
  2. Step 2: Convert to fraction form
    20,902.96/31,468.51 = 19,065.88/x
  3. Step 3: Cross multiply
    20,902.96x = 31,468.51 × 19,065.88
  4. Step 4: Simplify right side
    20,902.96x = 599,974,835.44
  5. Step 5: Solve for x
    x = 599,974,835.44/20,902.96
  6. Step 6: Final answer
    x = 28,702.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.