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Finding the Fourth Proportional to 21,268.89, 31,902.39 and 7,228.35

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Solution

The fourth proportional to 21,268.89, 31,902.39 and 7,228.35 is: 10,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268.89 : 31,902.39 = 7,228.35 : x
  2. Step 2: Convert to fraction form
    21,268.89/31,902.39 = 7,228.35/x
  3. Step 3: Cross multiply
    21,268.89x = 31,902.39 × 7,228.35
  4. Step 4: Simplify right side
    21,268.89x = 230,601,640.76
  5. Step 5: Solve for x
    x = 230,601,640.76/21,268.89
  6. Step 6: Final answer
    x = 10,842.20

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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.