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Finding the Fourth Proportional to 16,212.50, 24,297.54 and 8,308.30

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Solution

The fourth proportional to 16,212.50, 24,297.54 and 8,308.30 is: 12,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.50 : 24,297.54 = 8,308.30 : x
  2. Step 2: Convert to fraction form
    16,212.50/24,297.54 = 8,308.30/x
  3. Step 3: Cross multiply
    16,212.50x = 24,297.54 × 8,308.30
  4. Step 4: Simplify right side
    16,212.50x = 201,871,251.58
  5. Step 5: Solve for x
    x = 201,871,251.58/16,212.50
  6. Step 6: Final answer
    x = 12,451.58

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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.