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Finding the Fourth Proportional to 22,232.86, 33,349.29 and 9,085.22

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Solution

The fourth proportional to 22,232.86, 33,349.29 and 9,085.22 is: 13,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.86 : 33,349.29 = 9,085.22 : x
  2. Step 2: Convert to fraction form
    22,232.86/33,349.29 = 9,085.22/x
  3. Step 3: Cross multiply
    22,232.86x = 33,349.29 × 9,085.22
  4. Step 4: Simplify right side
    22,232.86x = 302,985,611.84
  5. Step 5: Solve for x
    x = 302,985,611.84/22,232.86
  6. Step 6: Final answer
    x = 13,627.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.