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Finding the Fourth Proportional to 22,522.86, 31,083.42 and 13,093.26

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Solution

The fourth proportional to 22,522.86, 31,083.42 and 13,093.26 is: 18,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.86 : 31,083.42 = 13,093.26 : x
  2. Step 2: Convert to fraction form
    22,522.86/31,083.42 = 13,093.26/x
  3. Step 3: Cross multiply
    22,522.86x = 31,083.42 × 13,093.26
  4. Step 4: Simplify right side
    22,522.86x = 406,983,299.75
  5. Step 5: Solve for x
    x = 406,983,299.75/22,522.86
  6. Step 6: Final answer
    x = 18,069.79

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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.