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Finding the Fourth Proportional to 15,858.56, 23,787.84 and 5,469.50

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Solution

The fourth proportional to 15,858.56, 23,787.84 and 5,469.50 is: 8,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.56 : 23,787.84 = 5,469.50 : x
  2. Step 2: Convert to fraction form
    15,858.56/23,787.84 = 5,469.50/x
  3. Step 3: Cross multiply
    15,858.56x = 23,787.84 × 5,469.50
  4. Step 4: Simplify right side
    15,858.56x = 130,107,590.88
  5. Step 5: Solve for x
    x = 130,107,590.88/15,858.56
  6. Step 6: Final answer
    x = 8,204.25

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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.