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Finding the Fourth Proportional to 16,025, 24,037.50 and 5,635.56

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Solution

The fourth proportional to 16,025, 24,037.50 and 5,635.56 is: 8,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,025 : 24,037.50 = 5,635.56 : x
  2. Step 2: Convert to fraction form
    16,025/24,037.50 = 5,635.56/x
  3. Step 3: Cross multiply
    16,025x = 24,037.50 × 5,635.56
  4. Step 4: Simplify right side
    16,025x = 135,464,773.50
  5. Step 5: Solve for x
    x = 135,464,773.50/16,025
  6. Step 6: Final answer
    x = 8,453.34

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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.