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Finding the Fourth Proportional to 21,933, 30,267.66 and 11,997

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Solution

The fourth proportional to 21,933, 30,267.66 and 11,997 is: 16,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 30,267.66 = 11,997 : x
  2. Step 2: Convert to fraction form
    21,933/30,267.66 = 11,997/x
  3. Step 3: Cross multiply
    21,933x = 30,267.66 × 11,997
  4. Step 4: Simplify right side
    21,933x = 363,121,117.02
  5. Step 5: Solve for x
    x = 363,121,117.02/21,933
  6. Step 6: Final answer
    x = 16,555.93

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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.