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Finding the Fourth Proportional to 27,809.58, 41,719.95 and 12,227.22

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Solution

The fourth proportional to 27,809.58, 41,719.95 and 12,227.22 is: 18,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.58 : 41,719.95 = 12,227.22 : x
  2. Step 2: Convert to fraction form
    27,809.58/41,719.95 = 12,227.22/x
  3. Step 3: Cross multiply
    27,809.58x = 41,719.95 × 12,227.22
  4. Step 4: Simplify right side
    27,809.58x = 510,119,007.04
  5. Step 5: Solve for x
    x = 510,119,007.04/27,809.58
  6. Step 6: Final answer
    x = 18,343.28

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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.