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Finding the Fourth Proportional to 27,798.60, 41,717.40 and 12,227.16

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Solution

The fourth proportional to 27,798.60, 41,717.40 and 12,227.16 is: 18,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.60 : 41,717.40 = 12,227.16 : x
  2. Step 2: Convert to fraction form
    27,798.60/41,717.40 = 12,227.16/x
  3. Step 3: Cross multiply
    27,798.60x = 41,717.40 × 12,227.16
  4. Step 4: Simplify right side
    27,798.60x = 510,085,324.58
  5. Step 5: Solve for x
    x = 510,085,324.58/27,798.60
  6. Step 6: Final answer
    x = 18,349.32

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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.