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Finding the Fourth Proportional to 22,813.22, 31,480.19 and 12,740.26

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Solution

The fourth proportional to 22,813.22, 31,480.19 and 12,740.26 is: 17,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.22 : 31,480.19 = 12,740.26 : x
  2. Step 2: Convert to fraction form
    22,813.22/31,480.19 = 12,740.26/x
  3. Step 3: Cross multiply
    22,813.22x = 31,480.19 × 12,740.26
  4. Step 4: Simplify right side
    22,813.22x = 401,065,930.05
  5. Step 5: Solve for x
    x = 401,065,930.05/22,813.22
  6. Step 6: Final answer
    x = 17,580.42

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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.