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Finding the Fourth Proportional to 16,828, 25,240.96 and 5,140.28

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Solution

The fourth proportional to 16,828, 25,240.96 and 5,140.28 is: 7,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828 : 25,240.96 = 5,140.28 : x
  2. Step 2: Convert to fraction form
    16,828/25,240.96 = 5,140.28/x
  3. Step 3: Cross multiply
    16,828x = 25,240.96 × 5,140.28
  4. Step 4: Simplify right side
    16,828x = 129,745,601.87
  5. Step 5: Solve for x
    x = 129,745,601.87/16,828
  6. Step 6: Final answer
    x = 7,710.10

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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.