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Finding the Fourth Proportional to 20,792.78, 31,188.19 and 7,644.18

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Solution

The fourth proportional to 20,792.78, 31,188.19 and 7,644.18 is: 11,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.78 : 31,188.19 = 7,644.18 : x
  2. Step 2: Convert to fraction form
    20,792.78/31,188.19 = 7,644.18/x
  3. Step 3: Cross multiply
    20,792.78x = 31,188.19 × 7,644.18
  4. Step 4: Simplify right side
    20,792.78x = 238,408,138.23
  5. Step 5: Solve for x
    x = 238,408,138.23/20,792.78
  6. Step 6: Final answer
    x = 11,465.91

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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.