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Finding the Fourth Proportional to 23,808.81, 35,729.67 and 8,226.45

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Solution

The fourth proportional to 23,808.81, 35,729.67 and 8,226.45 is: 12,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.81 : 35,729.67 = 8,226.45 : x
  2. Step 2: Convert to fraction form
    23,808.81/35,729.67 = 8,226.45/x
  3. Step 3: Cross multiply
    23,808.81x = 35,729.67 × 8,226.45
  4. Step 4: Simplify right side
    23,808.81x = 293,928,343.77
  5. Step 5: Solve for x
    x = 293,928,343.77/23,808.81
  6. Step 6: Final answer
    x = 12,345.36

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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.