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Finding the Fourth Proportional to 16,459.63, 24,692.03 and 5,363.76

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Solution

The fourth proportional to 16,459.63, 24,692.03 and 5,363.76 is: 8,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.63 : 24,692.03 = 5,363.76 : x
  2. Step 2: Convert to fraction form
    16,459.63/24,692.03 = 5,363.76/x
  3. Step 3: Cross multiply
    16,459.63x = 24,692.03 × 5,363.76
  4. Step 4: Simplify right side
    16,459.63x = 132,442,027.56
  5. Step 5: Solve for x
    x = 132,442,027.56/16,459.63
  6. Step 6: Final answer
    x = 8,046.48

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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.