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Finding the Fourth Proportional to 22,753.07, 31,398.71 and 13,194.66

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Solution

The fourth proportional to 22,753.07, 31,398.71 and 13,194.66 is: 18,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.07 : 31,398.71 = 13,194.66 : x
  2. Step 2: Convert to fraction form
    22,753.07/31,398.71 = 13,194.66/x
  3. Step 3: Cross multiply
    22,753.07x = 31,398.71 × 13,194.66
  4. Step 4: Simplify right side
    22,753.07x = 414,295,354.66
  5. Step 5: Solve for x
    x = 414,295,354.66/22,753.07
  6. Step 6: Final answer
    x = 18,208.33

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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.