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Finding the Fourth Proportional to 14,227.57, 21,324.72 and 10,706.29

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Solution

The fourth proportional to 14,227.57, 21,324.72 and 10,706.29 is: 16,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.57 : 21,324.72 = 10,706.29 : x
  2. Step 2: Convert to fraction form
    14,227.57/21,324.72 = 10,706.29/x
  3. Step 3: Cross multiply
    14,227.57x = 21,324.72 × 10,706.29
  4. Step 4: Simplify right side
    14,227.57x = 228,308,683.05
  5. Step 5: Solve for x
    x = 228,308,683.05/14,227.57
  6. Step 6: Final answer
    x = 16,046.93

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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.