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Finding the Fourth Proportional to 13,711.86, 20,575.98 and 12,596.49

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Solution

The fourth proportional to 13,711.86, 20,575.98 and 12,596.49 is: 18,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.86 : 20,575.98 = 12,596.49 : x
  2. Step 2: Convert to fraction form
    13,711.86/20,575.98 = 12,596.49/x
  3. Step 3: Cross multiply
    13,711.86x = 20,575.98 × 12,596.49
  4. Step 4: Simplify right side
    13,711.86x = 259,185,126.31
  5. Step 5: Solve for x
    x = 259,185,126.31/13,711.86
  6. Step 6: Final answer
    x = 18,902.26

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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.