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Finding the Fourth Proportional to 17,564.32, 24,230.64 and 10,108

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Solution

The fourth proportional to 17,564.32, 24,230.64 and 10,108 is: 13,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.32 : 24,230.64 = 10,108 : x
  2. Step 2: Convert to fraction form
    17,564.32/24,230.64 = 10,108/x
  3. Step 3: Cross multiply
    17,564.32x = 24,230.64 × 10,108
  4. Step 4: Simplify right side
    17,564.32x = 244,923,309.12
  5. Step 5: Solve for x
    x = 244,923,309.12/17,564.32
  6. Step 6: Final answer
    x = 13,944.37

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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.