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Finding the Fourth Proportional to 22,760.56, 31,409.47 and 13,202.38

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Solution

The fourth proportional to 22,760.56, 31,409.47 and 13,202.38 is: 18,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.56 : 31,409.47 = 13,202.38 : x
  2. Step 2: Convert to fraction form
    22,760.56/31,409.47 = 13,202.38/x
  3. Step 3: Cross multiply
    22,760.56x = 31,409.47 × 13,202.38
  4. Step 4: Simplify right side
    22,760.56x = 414,679,814.30
  5. Step 5: Solve for x
    x = 414,679,814.30/22,760.56
  6. Step 6: Final answer
    x = 18,219.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.