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Finding the Fourth Proportional to 16,865.28, 25,272 and 6,471.36

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Solution

The fourth proportional to 16,865.28, 25,272 and 6,471.36 is: 9,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.28 : 25,272 = 6,471.36 : x
  2. Step 2: Convert to fraction form
    16,865.28/25,272 = 6,471.36/x
  3. Step 3: Cross multiply
    16,865.28x = 25,272 × 6,471.36
  4. Step 4: Simplify right side
    16,865.28x = 163,544,209.92
  5. Step 5: Solve for x
    x = 163,544,209.92/16,865.28
  6. Step 6: Final answer
    x = 9,697.09

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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.