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Finding the Fourth Proportional to 16,208.64, 22,367.34 and 9,135.72

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Solution

The fourth proportional to 16,208.64, 22,367.34 and 9,135.72 is: 12,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.64 : 22,367.34 = 9,135.72 : x
  2. Step 2: Convert to fraction form
    16,208.64/22,367.34 = 9,135.72/x
  3. Step 3: Cross multiply
    16,208.64x = 22,367.34 × 9,135.72
  4. Step 4: Simplify right side
    16,208.64x = 204,341,755.38
  5. Step 5: Solve for x
    x = 204,341,755.38/16,208.64
  6. Step 6: Final answer
    x = 12,606.96

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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.