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Finding the Fourth Proportional to 16,837, 25,238.46 and 8,078.20

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Solution

The fourth proportional to 16,837, 25,238.46 and 8,078.20 is: 12,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837 : 25,238.46 = 8,078.20 : x
  2. Step 2: Convert to fraction form
    16,837/25,238.46 = 8,078.20/x
  3. Step 3: Cross multiply
    16,837x = 25,238.46 × 8,078.20
  4. Step 4: Simplify right side
    16,837x = 203,881,327.57
  5. Step 5: Solve for x
    x = 203,881,327.57/16,837
  6. Step 6: Final answer
    x = 12,109.12

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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.