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Finding the Fourth Proportional to 18,974.68, 28,462.83 and 5,827.57

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Solution

The fourth proportional to 18,974.68, 28,462.83 and 5,827.57 is: 8,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.68 : 28,462.83 = 5,827.57 : x
  2. Step 2: Convert to fraction form
    18,974.68/28,462.83 = 5,827.57/x
  3. Step 3: Cross multiply
    18,974.68x = 28,462.83 × 5,827.57
  4. Step 4: Simplify right side
    18,974.68x = 165,869,134.22
  5. Step 5: Solve for x
    x = 165,869,134.22/18,974.68
  6. Step 6: Final answer
    x = 8,741.60

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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.