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Finding the Fourth Proportional to 16,004.45, 24,002.53 and 4,757.15

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Solution

The fourth proportional to 16,004.45, 24,002.53 and 4,757.15 is: 7,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.45 : 24,002.53 = 4,757.15 : x
  2. Step 2: Convert to fraction form
    16,004.45/24,002.53 = 4,757.15/x
  3. Step 3: Cross multiply
    16,004.45x = 24,002.53 × 4,757.15
  4. Step 4: Simplify right side
    16,004.45x = 114,183,548.69
  5. Step 5: Solve for x
    x = 114,183,548.69/16,004.45
  6. Step 6: Final answer
    x = 7,134.49

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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.