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Finding the Fourth Proportional to 16,417.70, 24,634.24 and 8,093.17

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Solution

The fourth proportional to 16,417.70, 24,634.24 and 8,093.17 is: 12,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.70 : 24,634.24 = 8,093.17 : x
  2. Step 2: Convert to fraction form
    16,417.70/24,634.24 = 8,093.17/x
  3. Step 3: Cross multiply
    16,417.70x = 24,634.24 × 8,093.17
  4. Step 4: Simplify right side
    16,417.70x = 199,369,092.14
  5. Step 5: Solve for x
    x = 199,369,092.14/16,417.70
  6. Step 6: Final answer
    x = 12,143.55

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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.