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Finding the Fourth Proportional to 19,833.12, 27,366.66 and 11,448

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Solution

The fourth proportional to 19,833.12, 27,366.66 and 11,448 is: 15,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.12 : 27,366.66 = 11,448 : x
  2. Step 2: Convert to fraction form
    19,833.12/27,366.66 = 11,448/x
  3. Step 3: Cross multiply
    19,833.12x = 27,366.66 × 11,448
  4. Step 4: Simplify right side
    19,833.12x = 313,293,523.68
  5. Step 5: Solve for x
    x = 313,293,523.68/19,833.12
  6. Step 6: Final answer
    x = 15,796.48

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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.