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Finding the Fourth Proportional to 16,561, 24,848.70 and 8,249.32

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Solution

The fourth proportional to 16,561, 24,848.70 and 8,249.32 is: 12,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561 : 24,848.70 = 8,249.32 : x
  2. Step 2: Convert to fraction form
    16,561/24,848.70 = 8,249.32/x
  3. Step 3: Cross multiply
    16,561x = 24,848.70 × 8,249.32
  4. Step 4: Simplify right side
    16,561x = 204,984,877.88
  5. Step 5: Solve for x
    x = 204,984,877.88/16,561
  6. Step 6: Final answer
    x = 12,377.57

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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.