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Finding the Fourth Proportional to 19,596, 27,042.51 and 11,212.68

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Solution

The fourth proportional to 19,596, 27,042.51 and 11,212.68 is: 15,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596 : 27,042.51 = 11,212.68 : x
  2. Step 2: Convert to fraction form
    19,596/27,042.51 = 11,212.68/x
  3. Step 3: Cross multiply
    19,596x = 27,042.51 × 11,212.68
  4. Step 4: Simplify right side
    19,596x = 303,219,011.03
  5. Step 5: Solve for x
    x = 303,219,011.03/19,596
  6. Step 6: Final answer
    x = 15,473.52

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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.