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Finding the Fourth Proportional to 16,900.24, 25,354.20 and 5,214.40

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Solution

The fourth proportional to 16,900.24, 25,354.20 and 5,214.40 is: 7,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.24 : 25,354.20 = 5,214.40 : x
  2. Step 2: Convert to fraction form
    16,900.24/25,354.20 = 5,214.40/x
  3. Step 3: Cross multiply
    16,900.24x = 25,354.20 × 5,214.40
  4. Step 4: Simplify right side
    16,900.24x = 132,206,940.48
  5. Step 5: Solve for x
    x = 132,206,940.48/16,900.24
  6. Step 6: Final answer
    x = 7,822.78

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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.