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Finding the Fourth Proportional to 20,955.87, 31,434.08 and 6,165.11

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Solution

The fourth proportional to 20,955.87, 31,434.08 and 6,165.11 is: 9,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.87 : 31,434.08 = 6,165.11 : x
  2. Step 2: Convert to fraction form
    20,955.87/31,434.08 = 6,165.11/x
  3. Step 3: Cross multiply
    20,955.87x = 31,434.08 × 6,165.11
  4. Step 4: Simplify right side
    20,955.87x = 193,794,372.95
  5. Step 5: Solve for x
    x = 193,794,372.95/20,955.87
  6. Step 6: Final answer
    x = 9,247.74

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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.