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Finding the Fourth Proportional to 21,851.89, 30,147.83 and 12,894.91

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Solution

The fourth proportional to 21,851.89, 30,147.83 and 12,894.91 is: 17,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.89 : 30,147.83 = 12,894.91 : x
  2. Step 2: Convert to fraction form
    21,851.89/30,147.83 = 12,894.91/x
  3. Step 3: Cross multiply
    21,851.89x = 30,147.83 × 12,894.91
  4. Step 4: Simplify right side
    21,851.89x = 388,753,463.06
  5. Step 5: Solve for x
    x = 388,753,463.06/21,851.89
  6. Step 6: Final answer
    x = 17,790.38

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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.