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Finding the Fourth Proportional to 10,920.15, 16,383.77 and 8,967.24

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Solution

The fourth proportional to 10,920.15, 16,383.77 and 8,967.24 is: 13,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.15 : 16,383.77 = 8,967.24 : x
  2. Step 2: Convert to fraction form
    10,920.15/16,383.77 = 8,967.24/x
  3. Step 3: Cross multiply
    10,920.15x = 16,383.77 × 8,967.24
  4. Step 4: Simplify right side
    10,920.15x = 146,917,186.49
  5. Step 5: Solve for x
    x = 146,917,186.49/10,920.15
  6. Step 6: Final answer
    x = 13,453.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.