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Finding the Fourth Proportional to 19,808.09, 29,713.70 and 5,768.34

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Solution

The fourth proportional to 19,808.09, 29,713.70 and 5,768.34 is: 8,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.09 : 29,713.70 = 5,768.34 : x
  2. Step 2: Convert to fraction form
    19,808.09/29,713.70 = 5,768.34/x
  3. Step 3: Cross multiply
    19,808.09x = 29,713.70 × 5,768.34
  4. Step 4: Simplify right side
    19,808.09x = 171,398,724.26
  5. Step 5: Solve for x
    x = 171,398,724.26/19,808.09
  6. Step 6: Final answer
    x = 8,652.97

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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.