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Finding the Fourth Proportional to 12,582.15, 18,873.27 and 3,817.14

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Solution

The fourth proportional to 12,582.15, 18,873.27 and 3,817.14 is: 5,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.15 : 18,873.27 = 3,817.14 : x
  2. Step 2: Convert to fraction form
    12,582.15/18,873.27 = 3,817.14/x
  3. Step 3: Cross multiply
    12,582.15x = 18,873.27 × 3,817.14
  4. Step 4: Simplify right side
    12,582.15x = 72,041,913.85
  5. Step 5: Solve for x
    x = 72,041,913.85/12,582.15
  6. Step 6: Final answer
    x = 5,725.72

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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.