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Finding the Fourth Proportional to 14,914.50, 22,371.93 and 6,706.50

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Solution

The fourth proportional to 14,914.50, 22,371.93 and 6,706.50 is: 10,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.50 : 22,371.93 = 6,706.50 : x
  2. Step 2: Convert to fraction form
    14,914.50/22,371.93 = 6,706.50/x
  3. Step 3: Cross multiply
    14,914.50x = 22,371.93 × 6,706.50
  4. Step 4: Simplify right side
    14,914.50x = 150,037,348.55
  5. Step 5: Solve for x
    x = 150,037,348.55/14,914.50
  6. Step 6: Final answer
    x = 10,059.83

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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.