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Finding the Fourth Proportional to 16,003, 24,004.50 and 5,059

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Solution

The fourth proportional to 16,003, 24,004.50 and 5,059 is: 7,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003 : 24,004.50 = 5,059 : x
  2. Step 2: Convert to fraction form
    16,003/24,004.50 = 5,059/x
  3. Step 3: Cross multiply
    16,003x = 24,004.50 × 5,059
  4. Step 4: Simplify right side
    16,003x = 121,438,765.50
  5. Step 5: Solve for x
    x = 121,438,765.50/16,003
  6. Step 6: Final answer
    x = 7,588.50

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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.