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Finding the Fourth Proportional to 19,902, 27,464.76 and 11,519.04

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Solution

The fourth proportional to 19,902, 27,464.76 and 11,519.04 is: 15,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 27,464.76 = 11,519.04 : x
  2. Step 2: Convert to fraction form
    19,902/27,464.76 = 11,519.04/x
  3. Step 3: Cross multiply
    19,902x = 27,464.76 × 11,519.04
  4. Step 4: Simplify right side
    19,902x = 316,367,669.03
  5. Step 5: Solve for x
    x = 316,367,669.03/19,902
  6. Step 6: Final answer
    x = 15,896.28

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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.