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Finding the Fourth Proportional to 23,776.92, 35,645.92 and 8,977.44

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Solution

The fourth proportional to 23,776.92, 35,645.92 and 8,977.44 is: 13,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.92 : 35,645.92 = 8,977.44 : x
  2. Step 2: Convert to fraction form
    23,776.92/35,645.92 = 8,977.44/x
  3. Step 3: Cross multiply
    23,776.92x = 35,645.92 × 8,977.44
  4. Step 4: Simplify right side
    23,776.92x = 320,009,108.04
  5. Step 5: Solve for x
    x = 320,009,108.04/23,776.92
  6. Step 6: Final answer
    x = 13,458.81

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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.