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Finding the Fourth Proportional to 12,589.09, 18,847.18 and 9,482.18

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Solution

The fourth proportional to 12,589.09, 18,847.18 and 9,482.18 is: 14,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.09 : 18,847.18 = 9,482.18 : x
  2. Step 2: Convert to fraction form
    12,589.09/18,847.18 = 9,482.18/x
  3. Step 3: Cross multiply
    12,589.09x = 18,847.18 × 9,482.18
  4. Step 4: Simplify right side
    12,589.09x = 178,712,211.61
  5. Step 5: Solve for x
    x = 178,712,211.61/12,589.09
  6. Step 6: Final answer
    x = 14,195.81

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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.