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Finding the Fourth Proportional to 17,644, 24,359.52 and 11,367.52

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Solution

The fourth proportional to 17,644, 24,359.52 and 11,367.52 is: 15,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644 : 24,359.52 = 11,367.52 : x
  2. Step 2: Convert to fraction form
    17,644/24,359.52 = 11,367.52/x
  3. Step 3: Cross multiply
    17,644x = 24,359.52 × 11,367.52
  4. Step 4: Simplify right side
    17,644x = 276,907,330.79
  5. Step 5: Solve for x
    x = 276,907,330.79/17,644
  6. Step 6: Final answer
    x = 15,694.14

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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.