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Finding the Fourth Proportional to 20,803.14, 31,207.68 and 6,758.64

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Solution

The fourth proportional to 20,803.14, 31,207.68 and 6,758.64 is: 10,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.14 : 31,207.68 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    20,803.14/31,207.68 = 6,758.64/x
  3. Step 3: Cross multiply
    20,803.14x = 31,207.68 × 6,758.64
  4. Step 4: Simplify right side
    20,803.14x = 210,921,474.36
  5. Step 5: Solve for x
    x = 210,921,474.36/20,803.14
  6. Step 6: Final answer
    x = 10,138.92

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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.