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Finding the Fourth Proportional to 12,840.54, 19,262.73 and 4,075.74

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Solution

The fourth proportional to 12,840.54, 19,262.73 and 4,075.74 is: 6,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.54 : 19,262.73 = 4,075.74 : x
  2. Step 2: Convert to fraction form
    12,840.54/19,262.73 = 4,075.74/x
  3. Step 3: Cross multiply
    12,840.54x = 19,262.73 × 4,075.74
  4. Step 4: Simplify right side
    12,840.54x = 78,509,879.17
  5. Step 5: Solve for x
    x = 78,509,879.17/12,840.54
  6. Step 6: Final answer
    x = 6,114.22

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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.