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Finding the Fourth Proportional to 21,075.87, 31,629.36 and 9,982.54

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Solution

The fourth proportional to 21,075.87, 31,629.36 and 9,982.54 is: 14,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.87 : 31,629.36 = 9,982.54 : x
  2. Step 2: Convert to fraction form
    21,075.87/31,629.36 = 9,982.54/x
  3. Step 3: Cross multiply
    21,075.87x = 31,629.36 × 9,982.54
  4. Step 4: Simplify right side
    21,075.87x = 315,741,351.37
  5. Step 5: Solve for x
    x = 315,741,351.37/21,075.87
  6. Step 6: Final answer
    x = 14,981.18

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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.