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Finding the Fourth Proportional to 16,328, 22,532.64 and 9,704

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Solution

The fourth proportional to 16,328, 22,532.64 and 9,704 is: 13,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328 : 22,532.64 = 9,704 : x
  2. Step 2: Convert to fraction form
    16,328/22,532.64 = 9,704/x
  3. Step 3: Cross multiply
    16,328x = 22,532.64 × 9,704
  4. Step 4: Simplify right side
    16,328x = 218,656,738.56
  5. Step 5: Solve for x
    x = 218,656,738.56/16,328
  6. Step 6: Final answer
    x = 13,391.52

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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.