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Finding the Fourth Proportional to 19,728.20, 29,577.90 and 8,035.40

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Solution

The fourth proportional to 19,728.20, 29,577.90 and 8,035.40 is: 12,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.20 : 29,577.90 = 8,035.40 : x
  2. Step 2: Convert to fraction form
    19,728.20/29,577.90 = 8,035.40/x
  3. Step 3: Cross multiply
    19,728.20x = 29,577.90 × 8,035.40
  4. Step 4: Simplify right side
    19,728.20x = 237,670,257.66
  5. Step 5: Solve for x
    x = 237,670,257.66/19,728.20
  6. Step 6: Final answer
    x = 12,047.23

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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.