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Finding the Fourth Proportional to 16,902.24, 25,357.20 and 5,216.40

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Solution

The fourth proportional to 16,902.24, 25,357.20 and 5,216.40 is: 7,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.24 : 25,357.20 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    16,902.24/25,357.20 = 5,216.40/x
  3. Step 3: Cross multiply
    16,902.24x = 25,357.20 × 5,216.40
  4. Step 4: Simplify right side
    16,902.24x = 132,273,298.08
  5. Step 5: Solve for x
    x = 132,273,298.08/16,902.24
  6. Step 6: Final answer
    x = 7,825.79

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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.