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Finding the Fourth Proportional to 20,477.55, 30,716.30 and 6,438.81

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Solution

The fourth proportional to 20,477.55, 30,716.30 and 6,438.81 is: 9,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.55 : 30,716.30 = 6,438.81 : x
  2. Step 2: Convert to fraction form
    20,477.55/30,716.30 = 6,438.81/x
  3. Step 3: Cross multiply
    20,477.55x = 30,716.30 × 6,438.81
  4. Step 4: Simplify right side
    20,477.55x = 197,776,233.83
  5. Step 5: Solve for x
    x = 197,776,233.83/20,477.55
  6. Step 6: Final answer
    x = 9,658.20

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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.