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Finding the Fourth Proportional to 12,177.86, 18,265.24 and 3,858.71

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Solution

The fourth proportional to 12,177.86, 18,265.24 and 3,858.71 is: 5,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.86 : 18,265.24 = 3,858.71 : x
  2. Step 2: Convert to fraction form
    12,177.86/18,265.24 = 3,858.71/x
  3. Step 3: Cross multiply
    12,177.86x = 18,265.24 × 3,858.71
  4. Step 4: Simplify right side
    12,177.86x = 70,480,300.26
  5. Step 5: Solve for x
    x = 70,480,300.26/12,177.86
  6. Step 6: Final answer
    x = 5,787.58

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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.