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Finding the Fourth Proportional to 20,792.17, 31,187.71 and 7,638.85

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Solution

The fourth proportional to 20,792.17, 31,187.71 and 7,638.85 is: 11,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.17 : 31,187.71 = 7,638.85 : x
  2. Step 2: Convert to fraction form
    20,792.17/31,187.71 = 7,638.85/x
  3. Step 3: Cross multiply
    20,792.17x = 31,187.71 × 7,638.85
  4. Step 4: Simplify right side
    20,792.17x = 238,238,238.53
  5. Step 5: Solve for x
    x = 238,238,238.53/20,792.17
  6. Step 6: Final answer
    x = 11,458.07

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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.