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Finding the Fourth Proportional to 20,408.96, 30,615.68 and 8,723.36

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Solution

The fourth proportional to 20,408.96, 30,615.68 and 8,723.36 is: 13,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.96 : 30,615.68 = 8,723.36 : x
  2. Step 2: Convert to fraction form
    20,408.96/30,615.68 = 8,723.36/x
  3. Step 3: Cross multiply
    20,408.96x = 30,615.68 × 8,723.36
  4. Step 4: Simplify right side
    20,408.96x = 267,071,598.28
  5. Step 5: Solve for x
    x = 267,071,598.28/20,408.96
  6. Step 6: Final answer
    x = 13,086.00

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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.