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Finding the Fourth Proportional to 18,589.13, 25,653.53 and 10,206.17

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Solution

The fourth proportional to 18,589.13, 25,653.53 and 10,206.17 is: 14,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.13 : 25,653.53 = 10,206.17 : x
  2. Step 2: Convert to fraction form
    18,589.13/25,653.53 = 10,206.17/x
  3. Step 3: Cross multiply
    18,589.13x = 25,653.53 × 10,206.17
  4. Step 4: Simplify right side
    18,589.13x = 261,824,185.53
  5. Step 5: Solve for x
    x = 261,824,185.53/18,589.13
  6. Step 6: Final answer
    x = 14,084.80

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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.