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Finding the Fourth Proportional to 20,840.62, 31,239.06 and 7,684.60

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Solution

The fourth proportional to 20,840.62, 31,239.06 and 7,684.60 is: 11,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.62 : 31,239.06 = 7,684.60 : x
  2. Step 2: Convert to fraction form
    20,840.62/31,239.06 = 7,684.60/x
  3. Step 3: Cross multiply
    20,840.62x = 31,239.06 × 7,684.60
  4. Step 4: Simplify right side
    20,840.62x = 240,059,680.48
  5. Step 5: Solve for x
    x = 240,059,680.48/20,840.62
  6. Step 6: Final answer
    x = 11,518.84

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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.