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Finding the Fourth Proportional to 16,892.24, 25,338.42 and 5,205.40

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Solution

The fourth proportional to 16,892.24, 25,338.42 and 5,205.40 is: 7,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892.24 : 25,338.42 = 5,205.40 : x
  2. Step 2: Convert to fraction form
    16,892.24/25,338.42 = 5,205.40/x
  3. Step 3: Cross multiply
    16,892.24x = 25,338.42 × 5,205.40
  4. Step 4: Simplify right side
    16,892.24x = 131,896,611.47
  5. Step 5: Solve for x
    x = 131,896,611.47/16,892.24
  6. Step 6: Final answer
    x = 7,808.12

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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.