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Finding the Fourth Proportional to 12,589.84, 18,872.52 and 6,014.32

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Solution

The fourth proportional to 12,589.84, 18,872.52 and 6,014.32 is: 9,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.84 : 18,872.52 = 6,014.32 : x
  2. Step 2: Convert to fraction form
    12,589.84/18,872.52 = 6,014.32/x
  3. Step 3: Cross multiply
    12,589.84x = 18,872.52 × 6,014.32
  4. Step 4: Simplify right side
    12,589.84x = 113,505,374.49
  5. Step 5: Solve for x
    x = 113,505,374.49/12,589.84
  6. Step 6: Final answer
    x = 9,015.63

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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.