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Finding the Fourth Proportional to 14,680.67, 21,981.80 and 8,431.31

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Solution

The fourth proportional to 14,680.67, 21,981.80 and 8,431.31 is: 12,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.67 : 21,981.80 = 8,431.31 : x
  2. Step 2: Convert to fraction form
    14,680.67/21,981.80 = 8,431.31/x
  3. Step 3: Cross multiply
    14,680.67x = 21,981.80 × 8,431.31
  4. Step 4: Simplify right side
    14,680.67x = 185,335,218.09
  5. Step 5: Solve for x
    x = 185,335,218.09/14,680.67
  6. Step 6: Final answer
    x = 12,624.44

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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.