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Finding the Fourth Proportional to 21,084.19, 31,598.84 and 8,589.58

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Solution

The fourth proportional to 21,084.19, 31,598.84 and 8,589.58 is: 12,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.19 : 31,598.84 = 8,589.58 : x
  2. Step 2: Convert to fraction form
    21,084.19/31,598.84 = 8,589.58/x
  3. Step 3: Cross multiply
    21,084.19x = 31,598.84 × 8,589.58
  4. Step 4: Simplify right side
    21,084.19x = 271,420,706.56
  5. Step 5: Solve for x
    x = 271,420,706.56/21,084.19
  6. Step 6: Final answer
    x = 12,873.19

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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.