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Finding the Fourth Proportional to 20,992.89, 31,489.35 and 7,141.89

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Solution

The fourth proportional to 20,992.89, 31,489.35 and 7,141.89 is: 10,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.89 : 31,489.35 = 7,141.89 : x
  2. Step 2: Convert to fraction form
    20,992.89/31,489.35 = 7,141.89/x
  3. Step 3: Cross multiply
    20,992.89x = 31,489.35 × 7,141.89
  4. Step 4: Simplify right side
    20,992.89x = 224,893,473.87
  5. Step 5: Solve for x
    x = 224,893,473.87/20,992.89
  6. Step 6: Final answer
    x = 10,712.84

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