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Finding the Fourth Proportional to 22,472.06, 33,707.82 and 5,830.61

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Solution

The fourth proportional to 22,472.06, 33,707.82 and 5,830.61 is: 8,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.06 : 33,707.82 = 5,830.61 : x
  2. Step 2: Convert to fraction form
    22,472.06/33,707.82 = 5,830.61/x
  3. Step 3: Cross multiply
    22,472.06x = 33,707.82 × 5,830.61
  4. Step 4: Simplify right side
    22,472.06x = 196,537,038.95
  5. Step 5: Solve for x
    x = 196,537,038.95/22,472.06
  6. Step 6: Final answer
    x = 8,745.84

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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.