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Finding the Fourth Proportional to 22,336.45, 33,491.91 and 9,178

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Solution

The fourth proportional to 22,336.45, 33,491.91 and 9,178 is: 13,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.45 : 33,491.91 = 9,178 : x
  2. Step 2: Convert to fraction form
    22,336.45/33,491.91 = 9,178/x
  3. Step 3: Cross multiply
    22,336.45x = 33,491.91 × 9,178
  4. Step 4: Simplify right side
    22,336.45x = 307,388,749.98
  5. Step 5: Solve for x
    x = 307,388,749.98/22,336.45
  6. Step 6: Final answer
    x = 13,761.75

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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.