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Finding the Fourth Proportional to 16,327.50, 24,491.37 and 4,015.50

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Solution

The fourth proportional to 16,327.50, 24,491.37 and 4,015.50 is: 6,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.50 : 24,491.37 = 4,015.50 : x
  2. Step 2: Convert to fraction form
    16,327.50/24,491.37 = 4,015.50/x
  3. Step 3: Cross multiply
    16,327.50x = 24,491.37 × 4,015.50
  4. Step 4: Simplify right side
    16,327.50x = 98,345,096.24
  5. Step 5: Solve for x
    x = 98,345,096.24/16,327.50
  6. Step 6: Final answer
    x = 6,023.28

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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.