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Finding the Fourth Proportional to 23,823.20, 35,722.02 and 8,022.98

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Solution

The fourth proportional to 23,823.20, 35,722.02 and 8,022.98 is: 12,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.20 : 35,722.02 = 8,022.98 : x
  2. Step 2: Convert to fraction form
    23,823.20/35,722.02 = 8,022.98/x
  3. Step 3: Cross multiply
    23,823.20x = 35,722.02 × 8,022.98
  4. Step 4: Simplify right side
    23,823.20x = 286,597,052.02
  5. Step 5: Solve for x
    x = 286,597,052.02/23,823.20
  6. Step 6: Final answer
    x = 12,030.17

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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.