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Finding the Fourth Proportional to 19,712.28, 27,203.28 and 11,759.16

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Solution

The fourth proportional to 19,712.28, 27,203.28 and 11,759.16 is: 16,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.28 : 27,203.28 = 11,759.16 : x
  2. Step 2: Convert to fraction form
    19,712.28/27,203.28 = 11,759.16/x
  3. Step 3: Cross multiply
    19,712.28x = 27,203.28 × 11,759.16
  4. Step 4: Simplify right side
    19,712.28x = 319,887,722.04
  5. Step 5: Solve for x
    x = 319,887,722.04/19,712.28
  6. Step 6: Final answer
    x = 16,227.84

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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.