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Finding the Fourth Proportional to 19,770.70, 29,648.59 and 6,440.21

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Solution

The fourth proportional to 19,770.70, 29,648.59 and 6,440.21 is: 9,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.70 : 29,648.59 = 6,440.21 : x
  2. Step 2: Convert to fraction form
    19,770.70/29,648.59 = 6,440.21/x
  3. Step 3: Cross multiply
    19,770.70x = 29,648.59 × 6,440.21
  4. Step 4: Simplify right side
    19,770.70x = 190,943,145.80
  5. Step 5: Solve for x
    x = 190,943,145.80/19,770.70
  6. Step 6: Final answer
    x = 9,657.88

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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.