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Finding the Fourth Proportional to 22,031.41, 30,403.25 and 11,959.77

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Solution

The fourth proportional to 22,031.41, 30,403.25 and 11,959.77 is: 16,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.41 : 30,403.25 = 11,959.77 : x
  2. Step 2: Convert to fraction form
    22,031.41/30,403.25 = 11,959.77/x
  3. Step 3: Cross multiply
    22,031.41x = 30,403.25 × 11,959.77
  4. Step 4: Simplify right side
    22,031.41x = 363,615,805.30
  5. Step 5: Solve for x
    x = 363,615,805.30/22,031.41
  6. Step 6: Final answer
    x = 16,504.43

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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.