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Finding the Fourth Proportional to 16,369.68, 22,589.88 and 9,296

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Solution

The fourth proportional to 16,369.68, 22,589.88 and 9,296 is: 12,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.68 : 22,589.88 = 9,296 : x
  2. Step 2: Convert to fraction form
    16,369.68/22,589.88 = 9,296/x
  3. Step 3: Cross multiply
    16,369.68x = 22,589.88 × 9,296
  4. Step 4: Simplify right side
    16,369.68x = 209,995,524.48
  5. Step 5: Solve for x
    x = 209,995,524.48/16,369.68
  6. Step 6: Final answer
    x = 12,828.32

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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.