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Finding the Fourth Proportional to 16,894.77, 25,309.34 and 8,135.83

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Solution

The fourth proportional to 16,894.77, 25,309.34 and 8,135.83 is: 12,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.77 : 25,309.34 = 8,135.83 : x
  2. Step 2: Convert to fraction form
    16,894.77/25,309.34 = 8,135.83/x
  3. Step 3: Cross multiply
    16,894.77x = 25,309.34 × 8,135.83
  4. Step 4: Simplify right side
    16,894.77x = 205,912,554.88
  5. Step 5: Solve for x
    x = 205,912,554.88/16,894.77
  6. Step 6: Final answer
    x = 12,187.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.