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Finding the Fourth Proportional to 17,591, 24,275.29 and 9,524.59

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Solution

The fourth proportional to 17,591, 24,275.29 and 9,524.59 is: 13,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,591 : 24,275.29 = 9,524.59 : x
  2. Step 2: Convert to fraction form
    17,591/24,275.29 = 9,524.59/x
  3. Step 3: Cross multiply
    17,591x = 24,275.29 × 9,524.59
  4. Step 4: Simplify right side
    17,591x = 231,212,015.38
  5. Step 5: Solve for x
    x = 231,212,015.38/17,591
  6. Step 6: Final answer
    x = 13,143.77

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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.