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Finding the Fourth Proportional to 20,433.60, 30,643.20 and 7,286.40

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Solution

The fourth proportional to 20,433.60, 30,643.20 and 7,286.40 is: 10,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.60 : 30,643.20 = 7,286.40 : x
  2. Step 2: Convert to fraction form
    20,433.60/30,643.20 = 7,286.40/x
  3. Step 3: Cross multiply
    20,433.60x = 30,643.20 × 7,286.40
  4. Step 4: Simplify right side
    20,433.60x = 223,278,612.48
  5. Step 5: Solve for x
    x = 223,278,612.48/20,433.60
  6. Step 6: Final answer
    x = 10,927.03

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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.