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Finding the Fourth Proportional to 22,842.31, 31,522.18 and 12,633.34

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Solution

The fourth proportional to 22,842.31, 31,522.18 and 12,633.34 is: 17,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.31 : 31,522.18 = 12,633.34 : x
  2. Step 2: Convert to fraction form
    22,842.31/31,522.18 = 12,633.34/x
  3. Step 3: Cross multiply
    22,842.31x = 31,522.18 × 12,633.34
  4. Step 4: Simplify right side
    22,842.31x = 398,230,389.88
  5. Step 5: Solve for x
    x = 398,230,389.88/22,842.31
  6. Step 6: Final answer
    x = 17,433.89

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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.