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Finding the Fourth Proportional to 22,751.14, 31,394.37 and 13,679.14

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Solution

The fourth proportional to 22,751.14, 31,394.37 and 13,679.14 is: 18,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.14 : 31,394.37 = 13,679.14 : x
  2. Step 2: Convert to fraction form
    22,751.14/31,394.37 = 13,679.14/x
  3. Step 3: Cross multiply
    22,751.14x = 31,394.37 × 13,679.14
  4. Step 4: Simplify right side
    22,751.14x = 429,447,982.44
  5. Step 5: Solve for x
    x = 429,447,982.44/22,751.14
  6. Step 6: Final answer
    x = 18,875.89

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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.