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Finding the Fourth Proportional to 15,965.48, 23,926.02 and 8,157.80

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Solution

The fourth proportional to 15,965.48, 23,926.02 and 8,157.80 is: 12,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.48 : 23,926.02 = 8,157.80 : x
  2. Step 2: Convert to fraction form
    15,965.48/23,926.02 = 8,157.80/x
  3. Step 3: Cross multiply
    15,965.48x = 23,926.02 × 8,157.80
  4. Step 4: Simplify right side
    15,965.48x = 195,183,685.96
  5. Step 5: Solve for x
    x = 195,183,685.96/15,965.48
  6. Step 6: Final answer
    x = 12,225.36

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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.