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Finding the Fourth Proportional to 22,641.96, 31,249.62 and 13,082.34

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Solution

The fourth proportional to 22,641.96, 31,249.62 and 13,082.34 is: 18,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.96 : 31,249.62 = 13,082.34 : x
  2. Step 2: Convert to fraction form
    22,641.96/31,249.62 = 13,082.34/x
  3. Step 3: Cross multiply
    22,641.96x = 31,249.62 × 13,082.34
  4. Step 4: Simplify right side
    22,641.96x = 408,818,153.71
  5. Step 5: Solve for x
    x = 408,818,153.71/22,641.96
  6. Step 6: Final answer
    x = 18,055.78

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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.