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Finding the Fourth Proportional to 23,200.40, 34,766.04 and 13,324.88

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Solution

The fourth proportional to 23,200.40, 34,766.04 and 13,324.88 is: 19,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.40 : 34,766.04 = 13,324.88 : x
  2. Step 2: Convert to fraction form
    23,200.40/34,766.04 = 13,324.88/x
  3. Step 3: Cross multiply
    23,200.40x = 34,766.04 × 13,324.88
  4. Step 4: Simplify right side
    23,200.40x = 463,253,311.08
  5. Step 5: Solve for x
    x = 463,253,311.08/23,200.40
  6. Step 6: Final answer
    x = 19,967.47

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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.