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Finding the Fourth Proportional to 23,811.38, 32,857.98 and 13,054.53

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Solution

The fourth proportional to 23,811.38, 32,857.98 and 13,054.53 is: 18,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.38 : 32,857.98 = 13,054.53 : x
  2. Step 2: Convert to fraction form
    23,811.38/32,857.98 = 13,054.53/x
  3. Step 3: Cross multiply
    23,811.38x = 32,857.98 × 13,054.53
  4. Step 4: Simplify right side
    23,811.38x = 428,945,485.65
  5. Step 5: Solve for x
    x = 428,945,485.65/23,811.38
  6. Step 6: Final answer
    x = 18,014.31

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Why These Related Problems?

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