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Finding the Fourth Proportional to 20,533.44, 30,802.32 and 6,493.98

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Solution

The fourth proportional to 20,533.44, 30,802.32 and 6,493.98 is: 9,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.44 : 30,802.32 = 6,493.98 : x
  2. Step 2: Convert to fraction form
    20,533.44/30,802.32 = 6,493.98/x
  3. Step 3: Cross multiply
    20,533.44x = 30,802.32 × 6,493.98
  4. Step 4: Simplify right side
    20,533.44x = 200,029,650.03
  5. Step 5: Solve for x
    x = 200,029,650.03/20,533.44
  6. Step 6: Final answer
    x = 9,741.65

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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.