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Finding the Fourth Proportional to 14,189.42, 19,581.39 and 8,224.54

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Solution

The fourth proportional to 14,189.42, 19,581.39 and 8,224.54 is: 11,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.42 : 19,581.39 = 8,224.54 : x
  2. Step 2: Convert to fraction form
    14,189.42/19,581.39 = 8,224.54/x
  3. Step 3: Cross multiply
    14,189.42x = 19,581.39 × 8,224.54
  4. Step 4: Simplify right side
    14,189.42x = 161,047,986.50
  5. Step 5: Solve for x
    x = 161,047,986.50/14,189.42
  6. Step 6: Final answer
    x = 11,349.87

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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.