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Finding the Fourth Proportional to 14,511.66, 21,770.67 and 5,152.21

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Solution

The fourth proportional to 14,511.66, 21,770.67 and 5,152.21 is: 7,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.66 : 21,770.67 = 5,152.21 : x
  2. Step 2: Convert to fraction form
    14,511.66/21,770.67 = 5,152.21/x
  3. Step 3: Cross multiply
    14,511.66x = 21,770.67 × 5,152.21
  4. Step 4: Simplify right side
    14,511.66x = 112,167,028.57
  5. Step 5: Solve for x
    x = 112,167,028.57/14,511.66
  6. Step 6: Final answer
    x = 7,729.44

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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.