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Finding the Fourth Proportional to 20,477.91, 30,716.85 and 6,439.17

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Solution

The fourth proportional to 20,477.91, 30,716.85 and 6,439.17 is: 9,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.91 : 30,716.85 = 6,439.17 : x
  2. Step 2: Convert to fraction form
    20,477.91/30,716.85 = 6,439.17/x
  3. Step 3: Cross multiply
    20,477.91x = 30,716.85 × 6,439.17
  4. Step 4: Simplify right side
    20,477.91x = 197,791,017.63
  5. Step 5: Solve for x
    x = 197,791,017.63/20,477.91
  6. Step 6: Final answer
    x = 9,658.75

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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.