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Finding the Fourth Proportional to 16,706.86, 23,046.72 and 10,331.42

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Solution

The fourth proportional to 16,706.86, 23,046.72 and 10,331.42 is: 14,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.86 : 23,046.72 = 10,331.42 : x
  2. Step 2: Convert to fraction form
    16,706.86/23,046.72 = 10,331.42/x
  3. Step 3: Cross multiply
    16,706.86x = 23,046.72 × 10,331.42
  4. Step 4: Simplify right side
    16,706.86x = 238,105,318.11
  5. Step 5: Solve for x
    x = 238,105,318.11/16,706.86
  6. Step 6: Final answer
    x = 14,251.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.