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Finding the Fourth Proportional to 13,684.70, 20,526.11 and 8,420.56

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Solution

The fourth proportional to 13,684.70, 20,526.11 and 8,420.56 is: 12,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.70 : 20,526.11 = 8,420.56 : x
  2. Step 2: Convert to fraction form
    13,684.70/20,526.11 = 8,420.56/x
  3. Step 3: Cross multiply
    13,684.70x = 20,526.11 × 8,420.56
  4. Step 4: Simplify right side
    13,684.70x = 172,841,278.98
  5. Step 5: Solve for x
    x = 172,841,278.98/13,684.70
  6. Step 6: Final answer
    x = 12,630.26

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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.