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Finding the Fourth Proportional to 24,966, 34,435.62 and 24,142.32

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Solution

The fourth proportional to 24,966, 34,435.62 and 24,142.32 is: 33,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 34,435.62 = 24,142.32 : x
  2. Step 2: Convert to fraction form
    24,966/34,435.62 = 24,142.32/x
  3. Step 3: Cross multiply
    24,966x = 34,435.62 × 24,142.32
  4. Step 4: Simplify right side
    24,966x = 831,355,757.44
  5. Step 5: Solve for x
    x = 831,355,757.44/24,966
  6. Step 6: Final answer
    x = 33,299.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.