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Finding the Fourth Proportional to 16,294.94, 24,442.84 and 5,201.62

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Solution

The fourth proportional to 16,294.94, 24,442.84 and 5,201.62 is: 7,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.94 : 24,442.84 = 5,201.62 : x
  2. Step 2: Convert to fraction form
    16,294.94/24,442.84 = 5,201.62/x
  3. Step 3: Cross multiply
    16,294.94x = 24,442.84 × 5,201.62
  4. Step 4: Simplify right side
    16,294.94x = 127,142,310.80
  5. Step 5: Solve for x
    x = 127,142,310.80/16,294.94
  6. Step 6: Final answer
    x = 7,802.56

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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.