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Finding the Fourth Proportional to 22,031.52, 30,403.20 and 11,960

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Solution

The fourth proportional to 22,031.52, 30,403.20 and 11,960 is: 16,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.52 : 30,403.20 = 11,960 : x
  2. Step 2: Convert to fraction form
    22,031.52/30,403.20 = 11,960/x
  3. Step 3: Cross multiply
    22,031.52x = 30,403.20 × 11,960
  4. Step 4: Simplify right side
    22,031.52x = 363,622,272
  5. Step 5: Solve for x
    x = 363,622,272/22,031.52
  6. Step 6: Final answer
    x = 16,504.64

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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.