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Finding the Fourth Proportional to 19,840.23, 29,745.76 and 9,459.27

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Solution

The fourth proportional to 19,840.23, 29,745.76 and 9,459.27 is: 14,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.23 : 29,745.76 = 9,459.27 : x
  2. Step 2: Convert to fraction form
    19,840.23/29,745.76 = 9,459.27/x
  3. Step 3: Cross multiply
    19,840.23x = 29,745.76 × 9,459.27
  4. Step 4: Simplify right side
    19,840.23x = 281,373,175.20
  5. Step 5: Solve for x
    x = 281,373,175.20/19,840.23
  6. Step 6: Final answer
    x = 14,181.95

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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.