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Finding the Fourth Proportional to 22,295.10, 33,433.53 and 9,645.57

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Solution

The fourth proportional to 22,295.10, 33,433.53 and 9,645.57 is: 14,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.10 : 33,433.53 = 9,645.57 : x
  2. Step 2: Convert to fraction form
    22,295.10/33,433.53 = 9,645.57/x
  3. Step 3: Cross multiply
    22,295.10x = 33,433.53 × 9,645.57
  4. Step 4: Simplify right side
    22,295.10x = 322,485,453.96
  5. Step 5: Solve for x
    x = 322,485,453.96/22,295.10
  6. Step 6: Final answer
    x = 14,464.41

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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.