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Finding the Fourth Proportional to 12,477.60, 18,716.22 and 3,712.56

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Solution

The fourth proportional to 12,477.60, 18,716.22 and 3,712.56 is: 5,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.60 : 18,716.22 = 3,712.56 : x
  2. Step 2: Convert to fraction form
    12,477.60/18,716.22 = 3,712.56/x
  3. Step 3: Cross multiply
    12,477.60x = 18,716.22 × 3,712.56
  4. Step 4: Simplify right side
    12,477.60x = 69,485,089.72
  5. Step 5: Solve for x
    x = 69,485,089.72/12,477.60
  6. Step 6: Final answer
    x = 5,568.79

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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.