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Finding the Fourth Proportional to 22,813.14, 31,481.88 and 12,740.94

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Solution

The fourth proportional to 22,813.14, 31,481.88 and 12,740.94 is: 17,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.14 : 31,481.88 = 12,740.94 : x
  2. Step 2: Convert to fraction form
    22,813.14/31,481.88 = 12,740.94/x
  3. Step 3: Cross multiply
    22,813.14x = 31,481.88 × 12,740.94
  4. Step 4: Simplify right side
    22,813.14x = 401,108,744.17
  5. Step 5: Solve for x
    x = 401,108,744.17/22,813.14
  6. Step 6: Final answer
    x = 17,582.36

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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.