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Finding the Fourth Proportional to 16,856.44, 25,285.87 and 6,468.19

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Solution

The fourth proportional to 16,856.44, 25,285.87 and 6,468.19 is: 9,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.44 : 25,285.87 = 6,468.19 : x
  2. Step 2: Convert to fraction form
    16,856.44/25,285.87 = 6,468.19/x
  3. Step 3: Cross multiply
    16,856.44x = 25,285.87 × 6,468.19
  4. Step 4: Simplify right side
    16,856.44x = 163,553,756.35
  5. Step 5: Solve for x
    x = 163,553,756.35/16,856.44
  6. Step 6: Final answer
    x = 9,702.75

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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.