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Finding the Fourth Proportional to 20,902.79, 31,354.05 and 5,107.93

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Solution

The fourth proportional to 20,902.79, 31,354.05 and 5,107.93 is: 7,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.79 : 31,354.05 = 5,107.93 : x
  2. Step 2: Convert to fraction form
    20,902.79/31,354.05 = 5,107.93/x
  3. Step 3: Cross multiply
    20,902.79x = 31,354.05 × 5,107.93
  4. Step 4: Simplify right side
    20,902.79x = 160,154,233.39
  5. Step 5: Solve for x
    x = 160,154,233.39/20,902.79
  6. Step 6: Final answer
    x = 7,661.86

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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.