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Finding the Fourth Proportional to 17,904.67, 26,844.19 and 8,411.68

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Solution

The fourth proportional to 17,904.67, 26,844.19 and 8,411.68 is: 12,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.67 : 26,844.19 = 8,411.68 : x
  2. Step 2: Convert to fraction form
    17,904.67/26,844.19 = 8,411.68/x
  3. Step 3: Cross multiply
    17,904.67x = 26,844.19 × 8,411.68
  4. Step 4: Simplify right side
    17,904.67x = 225,804,736.14
  5. Step 5: Solve for x
    x = 225,804,736.14/17,904.67
  6. Step 6: Final answer
    x = 12,611.50

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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.