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Finding the Fourth Proportional to 21,183, 31,776.66 and 7,331.96

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Solution

The fourth proportional to 21,183, 31,776.66 and 7,331.96 is: 10,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183 : 31,776.66 = 7,331.96 : x
  2. Step 2: Convert to fraction form
    21,183/31,776.66 = 7,331.96/x
  3. Step 3: Cross multiply
    21,183x = 31,776.66 × 7,331.96
  4. Step 4: Simplify right side
    21,183x = 232,985,200.05
  5. Step 5: Solve for x
    x = 232,985,200.05/21,183
  6. Step 6: Final answer
    x = 10,998.69

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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.