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Finding the Fourth Proportional to 12,841.20, 19,263.90 and 4,078.21

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Solution

The fourth proportional to 12,841.20, 19,263.90 and 4,078.21 is: 6,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.20 : 19,263.90 = 4,078.21 : x
  2. Step 2: Convert to fraction form
    12,841.20/19,263.90 = 4,078.21/x
  3. Step 3: Cross multiply
    12,841.20x = 19,263.90 × 4,078.21
  4. Step 4: Simplify right side
    12,841.20x = 78,562,229.62
  5. Step 5: Solve for x
    x = 78,562,229.62/12,841.20
  6. Step 6: Final answer
    x = 6,117.98

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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.