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Finding the Fourth Proportional to 22,813.39, 31,481.70 and 12,741.76

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Solution

The fourth proportional to 22,813.39, 31,481.70 and 12,741.76 is: 17,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.39 : 31,481.70 = 12,741.76 : x
  2. Step 2: Convert to fraction form
    22,813.39/31,481.70 = 12,741.76/x
  3. Step 3: Cross multiply
    22,813.39x = 31,481.70 × 12,741.76
  4. Step 4: Simplify right side
    22,813.39x = 401,132,265.79
  5. Step 5: Solve for x
    x = 401,132,265.79/22,813.39
  6. Step 6: Final answer
    x = 17,583.19

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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.