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Finding the Fourth Proportional to 17,497.20, 24,145.05 and 10,422.27

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Solution

The fourth proportional to 17,497.20, 24,145.05 and 10,422.27 is: 14,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.20 : 24,145.05 = 10,422.27 : x
  2. Step 2: Convert to fraction form
    17,497.20/24,145.05 = 10,422.27/x
  3. Step 3: Cross multiply
    17,497.20x = 24,145.05 × 10,422.27
  4. Step 4: Simplify right side
    17,497.20x = 251,646,230.26
  5. Step 5: Solve for x
    x = 251,646,230.26/17,497.20
  6. Step 6: Final answer
    x = 14,382.09

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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.