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Finding the Fourth Proportional to 17,874.17, 26,811.44 and 5,394.30

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Solution

The fourth proportional to 17,874.17, 26,811.44 and 5,394.30 is: 8,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.17 : 26,811.44 = 5,394.30 : x
  2. Step 2: Convert to fraction form
    17,874.17/26,811.44 = 5,394.30/x
  3. Step 3: Cross multiply
    17,874.17x = 26,811.44 × 5,394.30
  4. Step 4: Simplify right side
    17,874.17x = 144,628,843.51
  5. Step 5: Solve for x
    x = 144,628,843.51/17,874.17
  6. Step 6: Final answer
    x = 8,091.50

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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.