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Finding the Fourth Proportional to 19,840.32, 29,739.51 and 7,181.64

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Solution

The fourth proportional to 19,840.32, 29,739.51 and 7,181.64 is: 10,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.32 : 29,739.51 = 7,181.64 : x
  2. Step 2: Convert to fraction form
    19,840.32/29,739.51 = 7,181.64/x
  3. Step 3: Cross multiply
    19,840.32x = 29,739.51 × 7,181.64
  4. Step 4: Simplify right side
    19,840.32x = 213,578,454.60
  5. Step 5: Solve for x
    x = 213,578,454.60/19,840.32
  6. Step 6: Final answer
    x = 10,764.87

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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.