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Finding the Fourth Proportional to 25,550.48, 38,327.64 and 7,082

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Solution

The fourth proportional to 25,550.48, 38,327.64 and 7,082 is: 10,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,550.48 : 38,327.64 = 7,082 : x
  2. Step 2: Convert to fraction form
    25,550.48/38,327.64 = 7,082/x
  3. Step 3: Cross multiply
    25,550.48x = 38,327.64 × 7,082
  4. Step 4: Simplify right side
    25,550.48x = 271,436,346.48
  5. Step 5: Solve for x
    x = 271,436,346.48/25,550.48
  6. Step 6: Final answer
    x = 10,623.53

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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.