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Finding the Fourth Proportional to 18,259.53, 27,369.21 and 7,164.15

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Solution

The fourth proportional to 18,259.53, 27,369.21 and 7,164.15 is: 10,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.53 : 27,369.21 = 7,164.15 : x
  2. Step 2: Convert to fraction form
    18,259.53/27,369.21 = 7,164.15/x
  3. Step 3: Cross multiply
    18,259.53x = 27,369.21 × 7,164.15
  4. Step 4: Simplify right side
    18,259.53x = 196,077,125.82
  5. Step 5: Solve for x
    x = 196,077,125.82/18,259.53
  6. Step 6: Final answer
    x = 10,738.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.