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Finding the Fourth Proportional to 19,690.75, 29,519.34 and 8,589.29

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Solution

The fourth proportional to 19,690.75, 29,519.34 and 8,589.29 is: 12,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.75 : 29,519.34 = 8,589.29 : x
  2. Step 2: Convert to fraction form
    19,690.75/29,519.34 = 8,589.29/x
  3. Step 3: Cross multiply
    19,690.75x = 29,519.34 × 8,589.29
  4. Step 4: Simplify right side
    19,690.75x = 253,550,158.11
  5. Step 5: Solve for x
    x = 253,550,158.11/19,690.75
  6. Step 6: Final answer
    x = 12,876.62

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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.