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Finding the Fourth Proportional to 19,804.18, 29,695.20 and 8,125.60

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Solution

The fourth proportional to 19,804.18, 29,695.20 and 8,125.60 is: 12,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.18 : 29,695.20 = 8,125.60 : x
  2. Step 2: Convert to fraction form
    19,804.18/29,695.20 = 8,125.60/x
  3. Step 3: Cross multiply
    19,804.18x = 29,695.20 × 8,125.60
  4. Step 4: Simplify right side
    19,804.18x = 241,291,317.12
  5. Step 5: Solve for x
    x = 241,291,317.12/19,804.18
  6. Step 6: Final answer
    x = 12,183.86

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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.