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Finding the Fourth Proportional to 19,770.10, 29,622.35 and 13,914.41

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Solution

The fourth proportional to 19,770.10, 29,622.35 and 13,914.41 is: 20,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.10 : 29,622.35 = 13,914.41 : x
  2. Step 2: Convert to fraction form
    19,770.10/29,622.35 = 13,914.41/x
  3. Step 3: Cross multiply
    19,770.10x = 29,622.35 × 13,914.41
  4. Step 4: Simplify right side
    19,770.10x = 412,177,523.06
  5. Step 5: Solve for x
    x = 412,177,523.06/19,770.10
  6. Step 6: Final answer
    x = 20,848.53

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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.