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Finding the Fourth Proportional to 19,421.27, 29,106.74 and 8,163.84

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Solution

The fourth proportional to 19,421.27, 29,106.74 and 8,163.84 is: 12,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421.27 : 29,106.74 = 8,163.84 : x
  2. Step 2: Convert to fraction form
    19,421.27/29,106.74 = 8,163.84/x
  3. Step 3: Cross multiply
    19,421.27x = 29,106.74 × 8,163.84
  4. Step 4: Simplify right side
    19,421.27x = 237,622,734.12
  5. Step 5: Solve for x
    x = 237,622,734.12/19,421.27
  6. Step 6: Final answer
    x = 12,235.18

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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.