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Finding the Fourth Proportional to 22,616.33, 31,190.10 and 14,119.23

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Solution

The fourth proportional to 22,616.33, 31,190.10 and 14,119.23 is: 19,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.33 : 31,190.10 = 14,119.23 : x
  2. Step 2: Convert to fraction form
    22,616.33/31,190.10 = 14,119.23/x
  3. Step 3: Cross multiply
    22,616.33x = 31,190.10 × 14,119.23
  4. Step 4: Simplify right side
    22,616.33x = 440,380,084.19
  5. Step 5: Solve for x
    x = 440,380,084.19/22,616.33
  6. Step 6: Final answer
    x = 19,471.77

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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.