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Finding the Fourth Proportional to 12,841.26, 19,263.50 and 4,409.40

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Solution

The fourth proportional to 12,841.26, 19,263.50 and 4,409.40 is: 6,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.26 : 19,263.50 = 4,409.40 : x
  2. Step 2: Convert to fraction form
    12,841.26/19,263.50 = 4,409.40/x
  3. Step 3: Cross multiply
    12,841.26x = 19,263.50 × 4,409.40
  4. Step 4: Simplify right side
    12,841.26x = 84,940,454.85
  5. Step 5: Solve for x
    x = 84,940,454.85/12,841.26
  6. Step 6: Final answer
    x = 6,614.65

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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.