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Finding the Fourth Proportional to 20,364.16, 30,546.84 and 7,225.60

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Solution

The fourth proportional to 20,364.16, 30,546.84 and 7,225.60 is: 10,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.16 : 30,546.84 = 7,225.60 : x
  2. Step 2: Convert to fraction form
    20,364.16/30,546.84 = 7,225.60/x
  3. Step 3: Cross multiply
    20,364.16x = 30,546.84 × 7,225.60
  4. Step 4: Simplify right side
    20,364.16x = 220,719,247.10
  5. Step 5: Solve for x
    x = 220,719,247.10/20,364.16
  6. Step 6: Final answer
    x = 10,838.61

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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.