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Finding the Fourth Proportional to 22,706.85, 31,334.96 and 13,147.14

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Solution

The fourth proportional to 22,706.85, 31,334.96 and 13,147.14 is: 18,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.85 : 31,334.96 = 13,147.14 : x
  2. Step 2: Convert to fraction form
    22,706.85/31,334.96 = 13,147.14/x
  3. Step 3: Cross multiply
    22,706.85x = 31,334.96 × 13,147.14
  4. Step 4: Simplify right side
    22,706.85x = 411,965,040.28
  5. Step 5: Solve for x
    x = 411,965,040.28/22,706.85
  6. Step 6: Final answer
    x = 18,142.76

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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.