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Finding the Fourth Proportional to 16,381.67, 22,599.69 and 10,706.57

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Solution

The fourth proportional to 16,381.67, 22,599.69 and 10,706.57 is: 14,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.67 : 22,599.69 = 10,706.57 : x
  2. Step 2: Convert to fraction form
    16,381.67/22,599.69 = 10,706.57/x
  3. Step 3: Cross multiply
    16,381.67x = 22,599.69 × 10,706.57
  4. Step 4: Simplify right side
    16,381.67x = 241,965,049.96
  5. Step 5: Solve for x
    x = 241,965,049.96/16,381.67
  6. Step 6: Final answer
    x = 14,770.48

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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.