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Finding the Fourth Proportional to 13,832.10, 20,723.40 and 8,412.60

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Solution

The fourth proportional to 13,832.10, 20,723.40 and 8,412.60 is: 12,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.10 : 20,723.40 = 8,412.60 : x
  2. Step 2: Convert to fraction form
    13,832.10/20,723.40 = 8,412.60/x
  3. Step 3: Cross multiply
    13,832.10x = 20,723.40 × 8,412.60
  4. Step 4: Simplify right side
    13,832.10x = 174,337,674.84
  5. Step 5: Solve for x
    x = 174,337,674.84/13,832.10
  6. Step 6: Final answer
    x = 12,603.85

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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.