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Finding the Fourth Proportional to 22,523.67, 31,084.56 and 13,092.84

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Solution

The fourth proportional to 22,523.67, 31,084.56 and 13,092.84 is: 18,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.67 : 31,084.56 = 13,092.84 : x
  2. Step 2: Convert to fraction form
    22,523.67/31,084.56 = 13,092.84/x
  3. Step 3: Cross multiply
    22,523.67x = 31,084.56 × 13,092.84
  4. Step 4: Simplify right side
    22,523.67x = 406,985,170.55
  5. Step 5: Solve for x
    x = 406,985,170.55/22,523.67
  6. Step 6: Final answer
    x = 18,069.22

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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.