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Finding the Fourth Proportional to 22,645.26, 31,245.80 and 13,693.14

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Solution

The fourth proportional to 22,645.26, 31,245.80 and 13,693.14 is: 18,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.26 : 31,245.80 = 13,693.14 : x
  2. Step 2: Convert to fraction form
    22,645.26/31,245.80 = 13,693.14/x
  3. Step 3: Cross multiply
    22,645.26x = 31,245.80 × 13,693.14
  4. Step 4: Simplify right side
    22,645.26x = 427,853,113.81
  5. Step 5: Solve for x
    x = 427,853,113.81/22,645.26
  6. Step 6: Final answer
    x = 18,893.72

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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.