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Finding the Fourth Proportional to 20,956.87, 31,435.58 and 6,166.11

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Solution

The fourth proportional to 20,956.87, 31,435.58 and 6,166.11 is: 9,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.87 : 31,435.58 = 6,166.11 : x
  2. Step 2: Convert to fraction form
    20,956.87/31,435.58 = 6,166.11/x
  3. Step 3: Cross multiply
    20,956.87x = 31,435.58 × 6,166.11
  4. Step 4: Simplify right side
    20,956.87x = 193,835,244.19
  5. Step 5: Solve for x
    x = 193,835,244.19/20,956.87
  6. Step 6: Final answer
    x = 9,249.25

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Why These Related Problems?

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