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Finding the Fourth Proportional to 18,971.87, 28,462.05 and 5,825.57

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Solution

The fourth proportional to 18,971.87, 28,462.05 and 5,825.57 is: 8,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.87 : 28,462.05 = 5,825.57 : x
  2. Step 2: Convert to fraction form
    18,971.87/28,462.05 = 5,825.57/x
  3. Step 3: Cross multiply
    18,971.87x = 28,462.05 × 5,825.57
  4. Step 4: Simplify right side
    18,971.87x = 165,807,522.31
  5. Step 5: Solve for x
    x = 165,807,522.31/18,971.87
  6. Step 6: Final answer
    x = 8,739.65

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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.