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Finding the Fourth Proportional to 20,287.63, 30,431.03 and 9,192.25

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Solution

The fourth proportional to 20,287.63, 30,431.03 and 9,192.25 is: 13,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.63 : 30,431.03 = 9,192.25 : x
  2. Step 2: Convert to fraction form
    20,287.63/30,431.03 = 9,192.25/x
  3. Step 3: Cross multiply
    20,287.63x = 30,431.03 × 9,192.25
  4. Step 4: Simplify right side
    20,287.63x = 279,729,483.36
  5. Step 5: Solve for x
    x = 279,729,483.36/20,287.63
  6. Step 6: Final answer
    x = 13,788.18

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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.