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Finding the Fourth Proportional to 16,209.64, 22,357.38 and 12,230.92

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Solution

The fourth proportional to 16,209.64, 22,357.38 and 12,230.92 is: 16,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.64 : 22,357.38 = 12,230.92 : x
  2. Step 2: Convert to fraction form
    16,209.64/22,357.38 = 12,230.92/x
  3. Step 3: Cross multiply
    16,209.64x = 22,357.38 × 12,230.92
  4. Step 4: Simplify right side
    16,209.64x = 273,451,326.19
  5. Step 5: Solve for x
    x = 273,451,326.19/16,209.64
  6. Step 6: Final answer
    x = 16,869.67

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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.