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Finding the Fourth Proportional to 15,999.27, 23,986.38 and 9,758.12

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Solution

The fourth proportional to 15,999.27, 23,986.38 and 9,758.12 is: 14,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.27 : 23,986.38 = 9,758.12 : x
  2. Step 2: Convert to fraction form
    15,999.27/23,986.38 = 9,758.12/x
  3. Step 3: Cross multiply
    15,999.27x = 23,986.38 × 9,758.12
  4. Step 4: Simplify right side
    15,999.27x = 234,061,971.10
  5. Step 5: Solve for x
    x = 234,061,971.10/15,999.27
  6. Step 6: Final answer
    x = 14,629.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.