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Finding the Fourth Proportional to 20,731.51, 31,075.84 and 9,629.16

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Solution

The fourth proportional to 20,731.51, 31,075.84 and 9,629.16 is: 14,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.51 : 31,075.84 = 9,629.16 : x
  2. Step 2: Convert to fraction form
    20,731.51/31,075.84 = 9,629.16/x
  3. Step 3: Cross multiply
    20,731.51x = 31,075.84 × 9,629.16
  4. Step 4: Simplify right side
    20,731.51x = 299,234,235.49
  5. Step 5: Solve for x
    x = 299,234,235.49/20,731.51
  6. Step 6: Final answer
    x = 14,433.79

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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.