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Finding the Fourth Proportional to 23,065.37, 34,609 and 13,723.85

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Solution

The fourth proportional to 23,065.37, 34,609 and 13,723.85 is: 20,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.37 : 34,609 = 13,723.85 : x
  2. Step 2: Convert to fraction form
    23,065.37/34,609 = 13,723.85/x
  3. Step 3: Cross multiply
    23,065.37x = 34,609 × 13,723.85
  4. Step 4: Simplify right side
    23,065.37x = 474,968,724.65
  5. Step 5: Solve for x
    x = 474,968,724.65/23,065.37
  6. Step 6: Final answer
    x = 20,592.29

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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.