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Finding the Fourth Proportional to 12,892.20, 17,794.80 and 7,589.40

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Solution

The fourth proportional to 12,892.20, 17,794.80 and 7,589.40 is: 10,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.20 : 17,794.80 = 7,589.40 : x
  2. Step 2: Convert to fraction form
    12,892.20/17,794.80 = 7,589.40/x
  3. Step 3: Cross multiply
    12,892.20x = 17,794.80 × 7,589.40
  4. Step 4: Simplify right side
    12,892.20x = 135,051,855.12
  5. Step 5: Solve for x
    x = 135,051,855.12/12,892.20
  6. Step 6: Final answer
    x = 10,475.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.