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Finding the Fourth Proportional to 16,311.70, 24,468.48 and 4,624

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Solution

The fourth proportional to 16,311.70, 24,468.48 and 4,624 is: 6,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.70 : 24,468.48 = 4,624 : x
  2. Step 2: Convert to fraction form
    16,311.70/24,468.48 = 4,624/x
  3. Step 3: Cross multiply
    16,311.70x = 24,468.48 × 4,624
  4. Step 4: Simplify right side
    16,311.70x = 113,142,251.52
  5. Step 5: Solve for x
    x = 113,142,251.52/16,311.70
  6. Step 6: Final answer
    x = 6,936.26

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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.