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Finding the Fourth Proportional to 27,681.68, 38,201.60 and 15,744.71

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Solution

The fourth proportional to 27,681.68, 38,201.60 and 15,744.71 is: 21,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.68 : 38,201.60 = 15,744.71 : x
  2. Step 2: Convert to fraction form
    27,681.68/38,201.60 = 15,744.71/x
  3. Step 3: Cross multiply
    27,681.68x = 38,201.60 × 15,744.71
  4. Step 4: Simplify right side
    27,681.68x = 601,472,961.89
  5. Step 5: Solve for x
    x = 601,472,961.89/27,681.68
  6. Step 6: Final answer
    x = 21,728.20

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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.