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Finding the Fourth Proportional to 16,645.82, 22,932.14 and 11,600.87

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Solution

The fourth proportional to 16,645.82, 22,932.14 and 11,600.87 is: 15,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.82 : 22,932.14 = 11,600.87 : x
  2. Step 2: Convert to fraction form
    16,645.82/22,932.14 = 11,600.87/x
  3. Step 3: Cross multiply
    16,645.82x = 22,932.14 × 11,600.87
  4. Step 4: Simplify right side
    16,645.82x = 266,032,602.30
  5. Step 5: Solve for x
    x = 266,032,602.30/16,645.82
  6. Step 6: Final answer
    x = 15,981.95

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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.