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Finding the Fourth Proportional to 18,142.23, 27,210.21 and 4,991.49

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Solution

The fourth proportional to 18,142.23, 27,210.21 and 4,991.49 is: 7,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.23 : 27,210.21 = 4,991.49 : x
  2. Step 2: Convert to fraction form
    18,142.23/27,210.21 = 4,991.49/x
  3. Step 3: Cross multiply
    18,142.23x = 27,210.21 × 4,991.49
  4. Step 4: Simplify right side
    18,142.23x = 135,819,491.11
  5. Step 5: Solve for x
    x = 135,819,491.11/18,142.23
  6. Step 6: Final answer
    x = 7,486.37

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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.