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Finding the Fourth Proportional to 21,782.44, 30,059.77 and 12,351

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Solution

The fourth proportional to 21,782.44, 30,059.77 and 12,351 is: 17,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.44 : 30,059.77 = 12,351 : x
  2. Step 2: Convert to fraction form
    21,782.44/30,059.77 = 12,351/x
  3. Step 3: Cross multiply
    21,782.44x = 30,059.77 × 12,351
  4. Step 4: Simplify right side
    21,782.44x = 371,268,219.27
  5. Step 5: Solve for x
    x = 371,268,219.27/21,782.44
  6. Step 6: Final answer
    x = 17,044.38

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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.