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Finding the Fourth Proportional to 21,791.13, 30,086.19 and 16,746

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Solution

The fourth proportional to 21,791.13, 30,086.19 and 16,746 is: 23,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791.13 : 30,086.19 = 16,746 : x
  2. Step 2: Convert to fraction form
    21,791.13/30,086.19 = 16,746/x
  3. Step 3: Cross multiply
    21,791.13x = 30,086.19 × 16,746
  4. Step 4: Simplify right side
    21,791.13x = 503,823,337.74
  5. Step 5: Solve for x
    x = 503,823,337.74/21,791.13
  6. Step 6: Final answer
    x = 23,120.57

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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.