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Finding the Fourth Proportional to 11,605.72, 17,432.16 and 10,249.78

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Solution

The fourth proportional to 11,605.72, 17,432.16 and 10,249.78 is: 15,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.72 : 17,432.16 = 10,249.78 : x
  2. Step 2: Convert to fraction form
    11,605.72/17,432.16 = 10,249.78/x
  3. Step 3: Cross multiply
    11,605.72x = 17,432.16 × 10,249.78
  4. Step 4: Simplify right side
    11,605.72x = 178,675,804.92
  5. Step 5: Solve for x
    x = 178,675,804.92/11,605.72
  6. Step 6: Final answer
    x = 15,395.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.