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Finding the Fourth Proportional to 18,164.41, 25,069.23 and 10,206.66

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Solution

The fourth proportional to 18,164.41, 25,069.23 and 10,206.66 is: 14,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.41 : 25,069.23 = 10,206.66 : x
  2. Step 2: Convert to fraction form
    18,164.41/25,069.23 = 10,206.66/x
  3. Step 3: Cross multiply
    18,164.41x = 25,069.23 × 10,206.66
  4. Step 4: Simplify right side
    18,164.41x = 255,873,107.07
  5. Step 5: Solve for x
    x = 255,873,107.07/18,164.41
  6. Step 6: Final answer
    x = 14,086.51

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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.