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Finding the Fourth Proportional to 22,906.98, 31,609.80 and 12,833.13

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Solution

The fourth proportional to 22,906.98, 31,609.80 and 12,833.13 is: 17,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.98 : 31,609.80 = 12,833.13 : x
  2. Step 2: Convert to fraction form
    22,906.98/31,609.80 = 12,833.13/x
  3. Step 3: Cross multiply
    22,906.98x = 31,609.80 × 12,833.13
  4. Step 4: Simplify right side
    22,906.98x = 405,652,672.67
  5. Step 5: Solve for x
    x = 405,652,672.67/22,906.98
  6. Step 6: Final answer
    x = 17,708.69

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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.