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Finding the Fourth Proportional to 27,874.02, 41,814.01 and 8,152.68

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Solution

The fourth proportional to 27,874.02, 41,814.01 and 8,152.68 is: 12,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.02 : 41,814.01 = 8,152.68 : x
  2. Step 2: Convert to fraction form
    27,874.02/41,814.01 = 8,152.68/x
  3. Step 3: Cross multiply
    27,874.02x = 41,814.01 × 8,152.68
  4. Step 4: Simplify right side
    27,874.02x = 340,896,364.18
  5. Step 5: Solve for x
    x = 340,896,364.18/27,874.02
  6. Step 6: Final answer
    x = 12,229.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.