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Finding the Fourth Proportional to 19,646.17, 27,112.38 and 10,694

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Solution

The fourth proportional to 19,646.17, 27,112.38 and 10,694 is: 14,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.17 : 27,112.38 = 10,694 : x
  2. Step 2: Convert to fraction form
    19,646.17/27,112.38 = 10,694/x
  3. Step 3: Cross multiply
    19,646.17x = 27,112.38 × 10,694
  4. Step 4: Simplify right side
    19,646.17x = 289,939,791.72
  5. Step 5: Solve for x
    x = 289,939,791.72/19,646.17
  6. Step 6: Final answer
    x = 14,758.08

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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.