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Finding the Fourth Proportional to 16,580.85, 24,849.08 and 8,134.44

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Solution

The fourth proportional to 16,580.85, 24,849.08 and 8,134.44 is: 12,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.85 : 24,849.08 = 8,134.44 : x
  2. Step 2: Convert to fraction form
    16,580.85/24,849.08 = 8,134.44/x
  3. Step 3: Cross multiply
    16,580.85x = 24,849.08 × 8,134.44
  4. Step 4: Simplify right side
    16,580.85x = 202,133,246.96
  5. Step 5: Solve for x
    x = 202,133,246.96/16,580.85
  6. Step 6: Final answer
    x = 12,190.77

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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.