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Finding the Fourth Proportional to 14,361.89, 19,821.27 and 8,075.48

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Solution

The fourth proportional to 14,361.89, 19,821.27 and 8,075.48 is: 11,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.89 : 19,821.27 = 8,075.48 : x
  2. Step 2: Convert to fraction form
    14,361.89/19,821.27 = 8,075.48/x
  3. Step 3: Cross multiply
    14,361.89x = 19,821.27 × 8,075.48
  4. Step 4: Simplify right side
    14,361.89x = 160,066,269.46
  5. Step 5: Solve for x
    x = 160,066,269.46/14,361.89
  6. Step 6: Final answer
    x = 11,145.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.