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Finding the Fourth Proportional to 20,853.74, 31,286.07 and 6,064.16

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Solution

The fourth proportional to 20,853.74, 31,286.07 and 6,064.16 is: 9,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.74 : 31,286.07 = 6,064.16 : x
  2. Step 2: Convert to fraction form
    20,853.74/31,286.07 = 6,064.16/x
  3. Step 3: Cross multiply
    20,853.74x = 31,286.07 × 6,064.16
  4. Step 4: Simplify right side
    20,853.74x = 189,723,577.82
  5. Step 5: Solve for x
    x = 189,723,577.82/20,853.74
  6. Step 6: Final answer
    x = 9,097.82

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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.