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Finding the Fourth Proportional to 28,464.26, 39,280.72 and 15,889

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Solution

The fourth proportional to 28,464.26, 39,280.72 and 15,889 is: 21,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,464.26 : 39,280.72 = 15,889 : x
  2. Step 2: Convert to fraction form
    28,464.26/39,280.72 = 15,889/x
  3. Step 3: Cross multiply
    28,464.26x = 39,280.72 × 15,889
  4. Step 4: Simplify right side
    28,464.26x = 624,131,360.08
  5. Step 5: Solve for x
    x = 624,131,360.08/28,464.26
  6. Step 6: Final answer
    x = 21,926.84

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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.