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Finding the Fourth Proportional to 19,471.81, 29,204.97 and 6,324.34

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Solution

The fourth proportional to 19,471.81, 29,204.97 and 6,324.34 is: 9,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.81 : 29,204.97 = 6,324.34 : x
  2. Step 2: Convert to fraction form
    19,471.81/29,204.97 = 6,324.34/x
  3. Step 3: Cross multiply
    19,471.81x = 29,204.97 × 6,324.34
  4. Step 4: Simplify right side
    19,471.81x = 184,702,159.97
  5. Step 5: Solve for x
    x = 184,702,159.97/19,471.81
  6. Step 6: Final answer
    x = 9,485.62

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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.