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Finding the Fourth Proportional to 11,998.74, 16,558.23 and 6,693.24

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Solution

The fourth proportional to 11,998.74, 16,558.23 and 6,693.24 is: 9,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.74 : 16,558.23 = 6,693.24 : x
  2. Step 2: Convert to fraction form
    11,998.74/16,558.23 = 6,693.24/x
  3. Step 3: Cross multiply
    11,998.74x = 16,558.23 × 6,693.24
  4. Step 4: Simplify right side
    11,998.74x = 110,828,207.37
  5. Step 5: Solve for x
    x = 110,828,207.37/11,998.74
  6. Step 6: Final answer
    x = 9,236.65

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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.