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Finding the Fourth Proportional to 16,065.94, 22,170.78 and 8,992.36

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Solution

The fourth proportional to 16,065.94, 22,170.78 and 8,992.36 is: 12,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.94 : 22,170.78 = 8,992.36 : x
  2. Step 2: Convert to fraction form
    16,065.94/22,170.78 = 8,992.36/x
  3. Step 3: Cross multiply
    16,065.94x = 22,170.78 × 8,992.36
  4. Step 4: Simplify right side
    16,065.94x = 199,367,635.24
  5. Step 5: Solve for x
    x = 199,367,635.24/16,065.94
  6. Step 6: Final answer
    x = 12,409.34

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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.