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Finding the Fourth Proportional to 19,604.36, 27,044.88 and 11,216

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Solution

The fourth proportional to 19,604.36, 27,044.88 and 11,216 is: 15,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.36 : 27,044.88 = 11,216 : x
  2. Step 2: Convert to fraction form
    19,604.36/27,044.88 = 11,216/x
  3. Step 3: Cross multiply
    19,604.36x = 27,044.88 × 11,216
  4. Step 4: Simplify right side
    19,604.36x = 303,335,374.08
  5. Step 5: Solve for x
    x = 303,335,374.08/19,604.36
  6. Step 6: Final answer
    x = 15,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.