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Finding the Fourth Proportional to 17,694.81, 26,533.26 and 7,837.11

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Solution

The fourth proportional to 17,694.81, 26,533.26 and 7,837.11 is: 11,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.81 : 26,533.26 = 7,837.11 : x
  2. Step 2: Convert to fraction form
    17,694.81/26,533.26 = 7,837.11/x
  3. Step 3: Cross multiply
    17,694.81x = 26,533.26 × 7,837.11
  4. Step 4: Simplify right side
    17,694.81x = 207,944,077.28
  5. Step 5: Solve for x
    x = 207,944,077.28/17,694.81
  6. Step 6: Final answer
    x = 11,751.70

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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.