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Finding the Fourth Proportional to 16,228, 22,394.64 and 9,604

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Solution

The fourth proportional to 16,228, 22,394.64 and 9,604 is: 13,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228 : 22,394.64 = 9,604 : x
  2. Step 2: Convert to fraction form
    16,228/22,394.64 = 9,604/x
  3. Step 3: Cross multiply
    16,228x = 22,394.64 × 9,604
  4. Step 4: Simplify right side
    16,228x = 215,078,122.56
  5. Step 5: Solve for x
    x = 215,078,122.56/16,228
  6. Step 6: Final answer
    x = 13,253.52

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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.