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Finding the Fourth Proportional to 19,846.62, 29,768.88 and 5,054.64

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Solution

The fourth proportional to 19,846.62, 29,768.88 and 5,054.64 is: 7,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.62 : 29,768.88 = 5,054.64 : x
  2. Step 2: Convert to fraction form
    19,846.62/29,768.88 = 5,054.64/x
  3. Step 3: Cross multiply
    19,846.62x = 29,768.88 × 5,054.64
  4. Step 4: Simplify right side
    19,846.62x = 150,470,878.92
  5. Step 5: Solve for x
    x = 150,470,878.92/19,846.62
  6. Step 6: Final answer
    x = 7,581.69

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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.