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Finding the Fourth Proportional to 22,037.32, 30,411.82 and 11,965.78

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Solution

The fourth proportional to 22,037.32, 30,411.82 and 11,965.78 is: 16,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037.32 : 30,411.82 = 11,965.78 : x
  2. Step 2: Convert to fraction form
    22,037.32/30,411.82 = 11,965.78/x
  3. Step 3: Cross multiply
    22,037.32x = 30,411.82 × 11,965.78
  4. Step 4: Simplify right side
    22,037.32x = 363,901,147.52
  5. Step 5: Solve for x
    x = 363,901,147.52/22,037.32
  6. Step 6: Final answer
    x = 16,512.95

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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.