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Finding the Fourth Proportional to 18,140.34, 27,224.14 and 13,471.22

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Solution

The fourth proportional to 18,140.34, 27,224.14 and 13,471.22 is: 20,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.34 : 27,224.14 = 13,471.22 : x
  2. Step 2: Convert to fraction form
    18,140.34/27,224.14 = 13,471.22/x
  3. Step 3: Cross multiply
    18,140.34x = 27,224.14 × 13,471.22
  4. Step 4: Simplify right side
    18,140.34x = 366,742,379.25
  5. Step 5: Solve for x
    x = 366,742,379.25/18,140.34
  6. Step 6: Final answer
    x = 20,216.95

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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.