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Finding the Fourth Proportional to 19,830.12, 29,745.24 and 6,678.96

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Solution

The fourth proportional to 19,830.12, 29,745.24 and 6,678.96 is: 10,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.12 : 29,745.24 = 6,678.96 : x
  2. Step 2: Convert to fraction form
    19,830.12/29,745.24 = 6,678.96/x
  3. Step 3: Cross multiply
    19,830.12x = 29,745.24 × 6,678.96
  4. Step 4: Simplify right side
    19,830.12x = 198,667,268.15
  5. Step 5: Solve for x
    x = 198,667,268.15/19,830.12
  6. Step 6: Final answer
    x = 10,018.46

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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.