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Finding the Fourth Proportional to 15,728.94, 23,601.61 and 6,375.87

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Solution

The fourth proportional to 15,728.94, 23,601.61 and 6,375.87 is: 9,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.94 : 23,601.61 = 6,375.87 : x
  2. Step 2: Convert to fraction form
    15,728.94/23,601.61 = 6,375.87/x
  3. Step 3: Cross multiply
    15,728.94x = 23,601.61 × 6,375.87
  4. Step 4: Simplify right side
    15,728.94x = 150,480,797.15
  5. Step 5: Solve for x
    x = 150,480,797.15/15,728.94
  6. Step 6: Final answer
    x = 9,567.13

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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.