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Finding the Fourth Proportional to 23,853.57, 35,751.02 and 13,999.65

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Solution

The fourth proportional to 23,853.57, 35,751.02 and 13,999.65 is: 20,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.57 : 35,751.02 = 13,999.65 : x
  2. Step 2: Convert to fraction form
    23,853.57/35,751.02 = 13,999.65/x
  3. Step 3: Cross multiply
    23,853.57x = 35,751.02 × 13,999.65
  4. Step 4: Simplify right side
    23,853.57x = 500,501,697.14
  5. Step 5: Solve for x
    x = 500,501,697.14/23,853.57
  6. Step 6: Final answer
    x = 20,982.26

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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.