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Finding the Fourth Proportional to 19,768.70, 29,645.60 and 6,438.21

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Solution

The fourth proportional to 19,768.70, 29,645.60 and 6,438.21 is: 9,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.70 : 29,645.60 = 6,438.21 : x
  2. Step 2: Convert to fraction form
    19,768.70/29,645.60 = 6,438.21/x
  3. Step 3: Cross multiply
    19,768.70x = 29,645.60 × 6,438.21
  4. Step 4: Simplify right side
    19,768.70x = 190,864,566.18
  5. Step 5: Solve for x
    x = 190,864,566.18/19,768.70
  6. Step 6: Final answer
    x = 9,654.89

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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.