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Finding the Fourth Proportional to 22,942.31, 31,660.47 and 12,871.17

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Solution

The fourth proportional to 22,942.31, 31,660.47 and 12,871.17 is: 17,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.31 : 31,660.47 = 12,871.17 : x
  2. Step 2: Convert to fraction form
    22,942.31/31,660.47 = 12,871.17/x
  3. Step 3: Cross multiply
    22,942.31x = 31,660.47 × 12,871.17
  4. Step 4: Simplify right side
    22,942.31x = 407,507,291.65
  5. Step 5: Solve for x
    x = 407,507,291.65/22,942.31
  6. Step 6: Final answer
    x = 17,762.26

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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.