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Finding the Fourth Proportional to 22,616.56, 31,190.44 and 14,119.48

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Solution

The fourth proportional to 22,616.56, 31,190.44 and 14,119.48 is: 19,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.56 : 31,190.44 = 14,119.48 : x
  2. Step 2: Convert to fraction form
    22,616.56/31,190.44 = 14,119.48/x
  3. Step 3: Cross multiply
    22,616.56x = 31,190.44 × 14,119.48
  4. Step 4: Simplify right side
    22,616.56x = 440,392,793.77
  5. Step 5: Solve for x
    x = 440,392,793.77/22,616.56
  6. Step 6: Final answer
    x = 19,472.14

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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.