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Finding the Fourth Proportional to 20,390.25, 30,593.54 and 9,302.16

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Solution

The fourth proportional to 20,390.25, 30,593.54 and 9,302.16 is: 13,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.25 : 30,593.54 = 9,302.16 : x
  2. Step 2: Convert to fraction form
    20,390.25/30,593.54 = 9,302.16/x
  3. Step 3: Cross multiply
    20,390.25x = 30,593.54 × 9,302.16
  4. Step 4: Simplify right side
    20,390.25x = 284,586,004.05
  5. Step 5: Solve for x
    x = 284,586,004.05/20,390.25
  6. Step 6: Final answer
    x = 13,956.96

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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.