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Finding the Fourth Proportional to 19,589.20, 29,396.40 and 10,830.40

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Solution

The fourth proportional to 19,589.20, 29,396.40 and 10,830.40 is: 16,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.20 : 29,396.40 = 10,830.40 : x
  2. Step 2: Convert to fraction form
    19,589.20/29,396.40 = 10,830.40/x
  3. Step 3: Cross multiply
    19,589.20x = 29,396.40 × 10,830.40
  4. Step 4: Simplify right side
    19,589.20x = 318,374,770.56
  5. Step 5: Solve for x
    x = 318,374,770.56/19,589.20
  6. Step 6: Final answer
    x = 16,252.57

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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.