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Finding the Fourth Proportional to 16,138.66, 22,292.38 and 12,407.70

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Solution

The fourth proportional to 16,138.66, 22,292.38 and 12,407.70 is: 17,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.66 : 22,292.38 = 12,407.70 : x
  2. Step 2: Convert to fraction form
    16,138.66/22,292.38 = 12,407.70/x
  3. Step 3: Cross multiply
    16,138.66x = 22,292.38 × 12,407.70
  4. Step 4: Simplify right side
    16,138.66x = 276,597,163.33
  5. Step 5: Solve for x
    x = 276,597,163.33/16,138.66
  6. Step 6: Final answer
    x = 17,138.79

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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.