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Finding the Fourth Proportional to 18,589.84, 25,653.66 and 10,206.28

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Solution

The fourth proportional to 18,589.84, 25,653.66 and 10,206.28 is: 14,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.84 : 25,653.66 = 10,206.28 : x
  2. Step 2: Convert to fraction form
    18,589.84/25,653.66 = 10,206.28/x
  3. Step 3: Cross multiply
    18,589.84x = 25,653.66 × 10,206.28
  4. Step 4: Simplify right side
    18,589.84x = 261,828,436.98
  5. Step 5: Solve for x
    x = 261,828,436.98/18,589.84
  6. Step 6: Final answer
    x = 14,084.49

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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.