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Finding the Fourth Proportional to 22,905.16, 31,609.24 and 12,833.62

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Solution

The fourth proportional to 22,905.16, 31,609.24 and 12,833.62 is: 17,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.16 : 31,609.24 = 12,833.62 : x
  2. Step 2: Convert to fraction form
    22,905.16/31,609.24 = 12,833.62/x
  3. Step 3: Cross multiply
    22,905.16x = 31,609.24 × 12,833.62
  4. Step 4: Simplify right side
    22,905.16x = 405,660,974.65
  5. Step 5: Solve for x
    x = 405,660,974.65/22,905.16
  6. Step 6: Final answer
    x = 17,710.46

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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.