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Finding the Fourth Proportional to 12,101.64, 18,143.46 and 5,083.71

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Solution

The fourth proportional to 12,101.64, 18,143.46 and 5,083.71 is: 7,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.64 : 18,143.46 = 5,083.71 : x
  2. Step 2: Convert to fraction form
    12,101.64/18,143.46 = 5,083.71/x
  3. Step 3: Cross multiply
    12,101.64x = 18,143.46 × 5,083.71
  4. Step 4: Simplify right side
    12,101.64x = 92,236,089.04
  5. Step 5: Solve for x
    x = 92,236,089.04/12,101.64
  6. Step 6: Final answer
    x = 7,621.78

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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.