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Finding the Fourth Proportional to 18,589.50, 25,653.75 and 10,206.30

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Solution

The fourth proportional to 18,589.50, 25,653.75 and 10,206.30 is: 14,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.50 : 25,653.75 = 10,206.30 : x
  2. Step 2: Convert to fraction form
    18,589.50/25,653.75 = 10,206.30/x
  3. Step 3: Cross multiply
    18,589.50x = 25,653.75 × 10,206.30
  4. Step 4: Simplify right side
    18,589.50x = 261,829,868.63
  5. Step 5: Solve for x
    x = 261,829,868.63/18,589.50
  6. Step 6: Final answer
    x = 14,084.83

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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.