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Finding the Fourth Proportional to 28,923, 39,913.74 and 15,675

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Solution

The fourth proportional to 28,923, 39,913.74 and 15,675 is: 21,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,923 : 39,913.74 = 15,675 : x
  2. Step 2: Convert to fraction form
    28,923/39,913.74 = 15,675/x
  3. Step 3: Cross multiply
    28,923x = 39,913.74 × 15,675
  4. Step 4: Simplify right side
    28,923x = 625,647,874.50
  5. Step 5: Solve for x
    x = 625,647,874.50/28,923
  6. Step 6: Final answer
    x = 21,631.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.