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Finding the Fourth Proportional to 15,890, 23,827.26 and 4,794.60

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Solution

The fourth proportional to 15,890, 23,827.26 and 4,794.60 is: 7,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890 : 23,827.26 = 4,794.60 : x
  2. Step 2: Convert to fraction form
    15,890/23,827.26 = 4,794.60/x
  3. Step 3: Cross multiply
    15,890x = 23,827.26 × 4,794.60
  4. Step 4: Simplify right side
    15,890x = 114,242,180.80
  5. Step 5: Solve for x
    x = 114,242,180.80/15,890
  6. Step 6: Final answer
    x = 7,189.56

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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.