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Finding the Fourth Proportional to 26,191.96, 39,286.87 and 6,470.02

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Solution

The fourth proportional to 26,191.96, 39,286.87 and 6,470.02 is: 9,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191.96 : 39,286.87 = 6,470.02 : x
  2. Step 2: Convert to fraction form
    26,191.96/39,286.87 = 6,470.02/x
  3. Step 3: Cross multiply
    26,191.96x = 39,286.87 × 6,470.02
  4. Step 4: Simplify right side
    26,191.96x = 254,186,834.64
  5. Step 5: Solve for x
    x = 254,186,834.64/26,191.96
  6. Step 6: Final answer
    x = 9,704.77

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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.