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Finding the Fourth Proportional to 24,065.68, 36,089.52 and 8,266.22

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Solution

The fourth proportional to 24,065.68, 36,089.52 and 8,266.22 is: 12,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.68 : 36,089.52 = 8,266.22 : x
  2. Step 2: Convert to fraction form
    24,065.68/36,089.52 = 8,266.22/x
  3. Step 3: Cross multiply
    24,065.68x = 36,089.52 × 8,266.22
  4. Step 4: Simplify right side
    24,065.68x = 298,323,912.01
  5. Step 5: Solve for x
    x = 298,323,912.01/24,065.68
  6. Step 6: Final answer
    x = 12,396.24

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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.