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Finding the Fourth Proportional to 19,817.10, 29,729.70 and 6,670.80

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Solution

The fourth proportional to 19,817.10, 29,729.70 and 6,670.80 is: 10,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.10 : 29,729.70 = 6,670.80 : x
  2. Step 2: Convert to fraction form
    19,817.10/29,729.70 = 6,670.80/x
  3. Step 3: Cross multiply
    19,817.10x = 29,729.70 × 6,670.80
  4. Step 4: Simplify right side
    19,817.10x = 198,320,882.76
  5. Step 5: Solve for x
    x = 198,320,882.76/19,817.10
  6. Step 6: Final answer
    x = 10,007.56

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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.