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Finding the Fourth Proportional to 23,019.20, 34,528.80 and 8,244.80

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Solution

The fourth proportional to 23,019.20, 34,528.80 and 8,244.80 is: 12,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.20 : 34,528.80 = 8,244.80 : x
  2. Step 2: Convert to fraction form
    23,019.20/34,528.80 = 8,244.80/x
  3. Step 3: Cross multiply
    23,019.20x = 34,528.80 × 8,244.80
  4. Step 4: Simplify right side
    23,019.20x = 284,683,050.24
  5. Step 5: Solve for x
    x = 284,683,050.24/23,019.20
  6. Step 6: Final answer
    x = 12,367.20

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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.