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Finding the Fourth Proportional to 22,409.67, 33,625.85 and 9,271.47

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Solution

The fourth proportional to 22,409.67, 33,625.85 and 9,271.47 is: 13,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.67 : 33,625.85 = 9,271.47 : x
  2. Step 2: Convert to fraction form
    22,409.67/33,625.85 = 9,271.47/x
  3. Step 3: Cross multiply
    22,409.67x = 33,625.85 × 9,271.47
  4. Step 4: Simplify right side
    22,409.67x = 311,761,013.14
  5. Step 5: Solve for x
    x = 311,761,013.14/22,409.67
  6. Step 6: Final answer
    x = 13,911.90

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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.