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Finding the Fourth Proportional to 11,894.59, 17,826.49 and 10,240.03

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Solution

The fourth proportional to 11,894.59, 17,826.49 and 10,240.03 is: 15,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.59 : 17,826.49 = 10,240.03 : x
  2. Step 2: Convert to fraction form
    11,894.59/17,826.49 = 10,240.03/x
  3. Step 3: Cross multiply
    11,894.59x = 17,826.49 × 10,240.03
  4. Step 4: Simplify right side
    11,894.59x = 182,543,792.39
  5. Step 5: Solve for x
    x = 182,543,792.39/11,894.59
  6. Step 6: Final answer
    x = 15,346.79

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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.