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Finding the Fourth Proportional to 15,920.20, 23,904.60 and 12,226.60

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Solution

The fourth proportional to 15,920.20, 23,904.60 and 12,226.60 is: 18,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.20 : 23,904.60 = 12,226.60 : x
  2. Step 2: Convert to fraction form
    15,920.20/23,904.60 = 12,226.60/x
  3. Step 3: Cross multiply
    15,920.20x = 23,904.60 × 12,226.60
  4. Step 4: Simplify right side
    15,920.20x = 292,271,982.36
  5. Step 5: Solve for x
    x = 292,271,982.36/15,920.20
  6. Step 6: Final answer
    x = 18,358.56

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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.