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Finding the Fourth Proportional to 27,812.88, 38,381.82 and 15,066.21

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Solution

The fourth proportional to 27,812.88, 38,381.82 and 15,066.21 is: 20,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.88 : 38,381.82 = 15,066.21 : x
  2. Step 2: Convert to fraction form
    27,812.88/38,381.82 = 15,066.21/x
  3. Step 3: Cross multiply
    27,812.88x = 38,381.82 × 15,066.21
  4. Step 4: Simplify right side
    27,812.88x = 578,268,560.30
  5. Step 5: Solve for x
    x = 578,268,560.30/27,812.88
  6. Step 6: Final answer
    x = 20,791.39

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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.