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Finding the Fourth Proportional to 22,311.14, 33,460.64 and 9,665.24

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Solution

The fourth proportional to 22,311.14, 33,460.64 and 9,665.24 is: 14,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.14 : 33,460.64 = 9,665.24 : x
  2. Step 2: Convert to fraction form
    22,311.14/33,460.64 = 9,665.24/x
  3. Step 3: Cross multiply
    22,311.14x = 33,460.64 × 9,665.24
  4. Step 4: Simplify right side
    22,311.14x = 323,405,116.15
  5. Step 5: Solve for x
    x = 323,405,116.15/22,311.14
  6. Step 6: Final answer
    x = 14,495.23

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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.