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Finding the Fourth Proportional to 16,023.96, 22,112.34 and 8,949

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Solution

The fourth proportional to 16,023.96, 22,112.34 and 8,949 is: 12,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.96 : 22,112.34 = 8,949 : x
  2. Step 2: Convert to fraction form
    16,023.96/22,112.34 = 8,949/x
  3. Step 3: Cross multiply
    16,023.96x = 22,112.34 × 8,949
  4. Step 4: Simplify right side
    16,023.96x = 197,883,330.66
  5. Step 5: Solve for x
    x = 197,883,330.66/16,023.96
  6. Step 6: Final answer
    x = 12,349.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.