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Finding the Fourth Proportional to 12,477.39, 18,716.90 and 3,711.57

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Solution

The fourth proportional to 12,477.39, 18,716.90 and 3,711.57 is: 5,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.39 : 18,716.90 = 3,711.57 : x
  2. Step 2: Convert to fraction form
    12,477.39/18,716.90 = 3,711.57/x
  3. Step 3: Cross multiply
    12,477.39x = 18,716.90 × 3,711.57
  4. Step 4: Simplify right side
    12,477.39x = 69,469,065.98
  5. Step 5: Solve for x
    x = 69,469,065.98/12,477.39
  6. Step 6: Final answer
    x = 5,567.60

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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.