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Finding the Fourth Proportional to 19,902, 27,462.96 and 10,949.88

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Solution

The fourth proportional to 19,902, 27,462.96 and 10,949.88 is: 15,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 27,462.96 = 10,949.88 : x
  2. Step 2: Convert to fraction form
    19,902/27,462.96 = 10,949.88/x
  3. Step 3: Cross multiply
    19,902x = 27,462.96 × 10,949.88
  4. Step 4: Simplify right side
    19,902x = 300,716,116.44
  5. Step 5: Solve for x
    x = 300,716,116.44/19,902
  6. Step 6: Final answer
    x = 15,109.84

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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.