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Finding the Fourth Proportional to 16,427.25, 24,635.07 and 6,563.88

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Solution

The fourth proportional to 16,427.25, 24,635.07 and 6,563.88 is: 9,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.25 : 24,635.07 = 6,563.88 : x
  2. Step 2: Convert to fraction form
    16,427.25/24,635.07 = 6,563.88/x
  3. Step 3: Cross multiply
    16,427.25x = 24,635.07 × 6,563.88
  4. Step 4: Simplify right side
    16,427.25x = 161,701,643.27
  5. Step 5: Solve for x
    x = 161,701,643.27/16,427.25
  6. Step 6: Final answer
    x = 9,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.