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Finding the Fourth Proportional to 13,402.86, 20,075.94 and 8,469.96

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Solution

The fourth proportional to 13,402.86, 20,075.94 and 8,469.96 is: 12,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.86 : 20,075.94 = 8,469.96 : x
  2. Step 2: Convert to fraction form
    13,402.86/20,075.94 = 8,469.96/x
  3. Step 3: Cross multiply
    13,402.86x = 20,075.94 × 8,469.96
  4. Step 4: Simplify right side
    13,402.86x = 170,042,408.76
  5. Step 5: Solve for x
    x = 170,042,408.76/13,402.86
  6. Step 6: Final answer
    x = 12,687.02

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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.