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Finding the Fourth Proportional to 12,177.76, 18,268.47 and 4,384.75

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Solution

The fourth proportional to 12,177.76, 18,268.47 and 4,384.75 is: 6,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.76 : 18,268.47 = 4,384.75 : x
  2. Step 2: Convert to fraction form
    12,177.76/18,268.47 = 4,384.75/x
  3. Step 3: Cross multiply
    12,177.76x = 18,268.47 × 4,384.75
  4. Step 4: Simplify right side
    12,177.76x = 80,102,673.83
  5. Step 5: Solve for x
    x = 80,102,673.83/12,177.76
  6. Step 6: Final answer
    x = 6,577.78

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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.