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Finding the Fourth Proportional to 22,472.12, 33,707.91 and 5,830.67

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Solution

The fourth proportional to 22,472.12, 33,707.91 and 5,830.67 is: 8,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.12 : 33,707.91 = 5,830.67 : x
  2. Step 2: Convert to fraction form
    22,472.12/33,707.91 = 5,830.67/x
  3. Step 3: Cross multiply
    22,472.12x = 33,707.91 × 5,830.67
  4. Step 4: Simplify right side
    22,472.12x = 196,539,699.60
  5. Step 5: Solve for x
    x = 196,539,699.60/22,472.12
  6. Step 6: Final answer
    x = 8,745.93

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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.