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Finding the Fourth Proportional to 27,681.64, 38,200.44 and 15,744.97

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Solution

The fourth proportional to 27,681.64, 38,200.44 and 15,744.97 is: 21,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.64 : 38,200.44 = 15,744.97 : x
  2. Step 2: Convert to fraction form
    27,681.64/38,200.44 = 15,744.97/x
  3. Step 3: Cross multiply
    27,681.64x = 38,200.44 × 15,744.97
  4. Step 4: Simplify right side
    27,681.64x = 601,464,781.79
  5. Step 5: Solve for x
    x = 601,464,781.79/27,681.64
  6. Step 6: Final answer
    x = 21,727.93

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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.