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Finding the Fourth Proportional to 20,874.05, 31,323.36 and 7,735.58

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Solution

The fourth proportional to 20,874.05, 31,323.36 and 7,735.58 is: 11,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.05 : 31,323.36 = 7,735.58 : x
  2. Step 2: Convert to fraction form
    20,874.05/31,323.36 = 7,735.58/x
  3. Step 3: Cross multiply
    20,874.05x = 31,323.36 × 7,735.58
  4. Step 4: Simplify right side
    20,874.05x = 242,304,200.53
  5. Step 5: Solve for x
    x = 242,304,200.53/20,874.05
  6. Step 6: Final answer
    x = 11,607.92

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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.