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Finding the Fourth Proportional to 13,840.26, 20,761.94 and 5,075.14

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Solution

The fourth proportional to 13,840.26, 20,761.94 and 5,075.14 is: 7,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.26 : 20,761.94 = 5,075.14 : x
  2. Step 2: Convert to fraction form
    13,840.26/20,761.94 = 5,075.14/x
  3. Step 3: Cross multiply
    13,840.26x = 20,761.94 × 5,075.14
  4. Step 4: Simplify right side
    13,840.26x = 105,369,752.17
  5. Step 5: Solve for x
    x = 105,369,752.17/13,840.26
  6. Step 6: Final answer
    x = 7,613.28

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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.