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Finding the Fourth Proportional to 14,450.68, 21,680.84 and 9,770.48

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Solution

The fourth proportional to 14,450.68, 21,680.84 and 9,770.48 is: 14,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.68 : 21,680.84 = 9,770.48 : x
  2. Step 2: Convert to fraction form
    14,450.68/21,680.84 = 9,770.48/x
  3. Step 3: Cross multiply
    14,450.68x = 21,680.84 × 9,770.48
  4. Step 4: Simplify right side
    14,450.68x = 211,832,213.60
  5. Step 5: Solve for x
    x = 211,832,213.60/14,450.68
  6. Step 6: Final answer
    x = 14,658.98

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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.