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Finding the Fourth Proportional to 16,591.41, 22,896.14 and 9,139.41

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Solution

The fourth proportional to 16,591.41, 22,896.14 and 9,139.41 is: 12,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.41 : 22,896.14 = 9,139.41 : x
  2. Step 2: Convert to fraction form
    16,591.41/22,896.14 = 9,139.41/x
  3. Step 3: Cross multiply
    16,591.41x = 22,896.14 × 9,139.41
  4. Step 4: Simplify right side
    16,591.41x = 209,257,233.73
  5. Step 5: Solve for x
    x = 209,257,233.73/16,591.41
  6. Step 6: Final answer
    x = 12,612.38

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1.5x scale

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.