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Finding the Fourth Proportional to 17,856.05, 26,784.07 and 4,709.44

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Solution

The fourth proportional to 17,856.05, 26,784.07 and 4,709.44 is: 7,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.05 : 26,784.07 = 4,709.44 : x
  2. Step 2: Convert to fraction form
    17,856.05/26,784.07 = 4,709.44/x
  3. Step 3: Cross multiply
    17,856.05x = 26,784.07 × 4,709.44
  4. Step 4: Simplify right side
    17,856.05x = 126,137,992.33
  5. Step 5: Solve for x
    x = 126,137,992.33/17,856.05
  6. Step 6: Final answer
    x = 7,064.16

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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.