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Finding the Fourth Proportional to 21,172.44, 31,725.24 and 7,827.12

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Solution

The fourth proportional to 21,172.44, 31,725.24 and 7,827.12 is: 11,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.44 : 31,725.24 = 7,827.12 : x
  2. Step 2: Convert to fraction form
    21,172.44/31,725.24 = 7,827.12/x
  3. Step 3: Cross multiply
    21,172.44x = 31,725.24 × 7,827.12
  4. Step 4: Simplify right side
    21,172.44x = 248,317,260.51
  5. Step 5: Solve for x
    x = 248,317,260.51/21,172.44
  6. Step 6: Final answer
    x = 11,728.33

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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.