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Finding the Fourth Proportional to 18,589.36, 25,653.36 and 10,206.40

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Solution

The fourth proportional to 18,589.36, 25,653.36 and 10,206.40 is: 14,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.36 : 25,653.36 = 10,206.40 : x
  2. Step 2: Convert to fraction form
    18,589.36/25,653.36 = 10,206.40/x
  3. Step 3: Cross multiply
    18,589.36x = 25,653.36 × 10,206.40
  4. Step 4: Simplify right side
    18,589.36x = 261,828,453.50
  5. Step 5: Solve for x
    x = 261,828,453.50/18,589.36
  6. Step 6: Final answer
    x = 14,084.86

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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.