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Finding the Fourth Proportional to 12,582, 18,874.89 and 3,816.72

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Solution

The fourth proportional to 12,582, 18,874.89 and 3,816.72 is: 5,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 18,874.89 = 3,816.72 : x
  2. Step 2: Convert to fraction form
    12,582/18,874.89 = 3,816.72/x
  3. Step 3: Cross multiply
    12,582x = 18,874.89 × 3,816.72
  4. Step 4: Simplify right side
    12,582x = 72,040,170.16
  5. Step 5: Solve for x
    x = 72,040,170.16/12,582
  6. Step 6: Final answer
    x = 5,725.65

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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.