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Finding the Fourth Proportional to 22,420.94, 33,635.86 and 6,410.64

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Solution

The fourth proportional to 22,420.94, 33,635.86 and 6,410.64 is: 9,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,420.94 : 33,635.86 = 6,410.64 : x
  2. Step 2: Convert to fraction form
    22,420.94/33,635.86 = 6,410.64/x
  3. Step 3: Cross multiply
    22,420.94x = 33,635.86 × 6,410.64
  4. Step 4: Simplify right side
    22,420.94x = 215,627,389.55
  5. Step 5: Solve for x
    x = 215,627,389.55/22,420.94
  6. Step 6: Final answer
    x = 9,617.23

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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.