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Finding the Fourth Proportional to 13,522.74, 20,282.50 and 4,162.74

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Solution

The fourth proportional to 13,522.74, 20,282.50 and 4,162.74 is: 6,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.74 : 20,282.50 = 4,162.74 : x
  2. Step 2: Convert to fraction form
    13,522.74/20,282.50 = 4,162.74/x
  3. Step 3: Cross multiply
    13,522.74x = 20,282.50 × 4,162.74
  4. Step 4: Simplify right side
    13,522.74x = 84,430,774.05
  5. Step 5: Solve for x
    x = 84,430,774.05/13,522.74
  6. Step 6: Final answer
    x = 6,243.61

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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.