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Finding the Fourth Proportional to 20,597.64, 30,896.46 and 5,015.12

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Solution

The fourth proportional to 20,597.64, 30,896.46 and 5,015.12 is: 7,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.64 : 30,896.46 = 5,015.12 : x
  2. Step 2: Convert to fraction form
    20,597.64/30,896.46 = 5,015.12/x
  3. Step 3: Cross multiply
    20,597.64x = 30,896.46 × 5,015.12
  4. Step 4: Simplify right side
    20,597.64x = 154,949,454.48
  5. Step 5: Solve for x
    x = 154,949,454.48/20,597.64
  6. Step 6: Final answer
    x = 7,522.68

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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.