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Finding the Fourth Proportional to 19,794, 27,315.72 and 10,962

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Solution

The fourth proportional to 19,794, 27,315.72 and 10,962 is: 15,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 27,315.72 = 10,962 : x
  2. Step 2: Convert to fraction form
    19,794/27,315.72 = 10,962/x
  3. Step 3: Cross multiply
    19,794x = 27,315.72 × 10,962
  4. Step 4: Simplify right side
    19,794x = 299,434,922.64
  5. Step 5: Solve for x
    x = 299,434,922.64/19,794
  6. Step 6: Final answer
    x = 15,127.56

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