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Finding the Fourth Proportional to 22,311.36, 33,458.58 and 7,314.96

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Solution

The fourth proportional to 22,311.36, 33,458.58 and 7,314.96 is: 10,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.36 : 33,458.58 = 7,314.96 : x
  2. Step 2: Convert to fraction form
    22,311.36/33,458.58 = 7,314.96/x
  3. Step 3: Cross multiply
    22,311.36x = 33,458.58 × 7,314.96
  4. Step 4: Simplify right side
    22,311.36x = 244,748,174.36
  5. Step 5: Solve for x
    x = 244,748,174.36/22,311.36
  6. Step 6: Final answer
    x = 10,969.67

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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.