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Finding the Fourth Proportional to 15,965.32, 23,952.72 and 8,179.60

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Solution

The fourth proportional to 15,965.32, 23,952.72 and 8,179.60 is: 12,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.32 : 23,952.72 = 8,179.60 : x
  2. Step 2: Convert to fraction form
    15,965.32/23,952.72 = 8,179.60/x
  3. Step 3: Cross multiply
    15,965.32x = 23,952.72 × 8,179.60
  4. Step 4: Simplify right side
    15,965.32x = 195,923,668.51
  5. Step 5: Solve for x
    x = 195,923,668.51/15,965.32
  6. Step 6: Final answer
    x = 12,271.83

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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.