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Finding the Fourth Proportional to 12,744.63, 19,124.37 and 5,348.52

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Solution

The fourth proportional to 12,744.63, 19,124.37 and 5,348.52 is: 8,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.63 : 19,124.37 = 5,348.52 : x
  2. Step 2: Convert to fraction form
    12,744.63/19,124.37 = 5,348.52/x
  3. Step 3: Cross multiply
    12,744.63x = 19,124.37 × 5,348.52
  4. Step 4: Simplify right side
    12,744.63x = 102,287,075.43
  5. Step 5: Solve for x
    x = 102,287,075.43/12,744.63
  6. Step 6: Final answer
    x = 8,025.90

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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.