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Finding the Fourth Proportional to 20,745.98, 31,129.92 and 12,442.67

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Solution

The fourth proportional to 20,745.98, 31,129.92 and 12,442.67 is: 18,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.98 : 31,129.92 = 12,442.67 : x
  2. Step 2: Convert to fraction form
    20,745.98/31,129.92 = 12,442.67/x
  3. Step 3: Cross multiply
    20,745.98x = 31,129.92 × 12,442.67
  4. Step 4: Simplify right side
    20,745.98x = 387,339,166.04
  5. Step 5: Solve for x
    x = 387,339,166.04/20,745.98
  6. Step 6: Final answer
    x = 18,670.57

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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.