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Finding the Fourth Proportional to 20,705.79, 31,049.33 and 5,911.19

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Solution

The fourth proportional to 20,705.79, 31,049.33 and 5,911.19 is: 8,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.79 : 31,049.33 = 5,911.19 : x
  2. Step 2: Convert to fraction form
    20,705.79/31,049.33 = 5,911.19/x
  3. Step 3: Cross multiply
    20,705.79x = 31,049.33 × 5,911.19
  4. Step 4: Simplify right side
    20,705.79x = 183,538,304.20
  5. Step 5: Solve for x
    x = 183,538,304.20/20,705.79
  6. Step 6: Final answer
    x = 8,864.11

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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.