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Finding the Fourth Proportional to 21,075.44, 31,609.97 and 7,924.74

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Solution

The fourth proportional to 21,075.44, 31,609.97 and 7,924.74 is: 11,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.44 : 31,609.97 = 7,924.74 : x
  2. Step 2: Convert to fraction form
    21,075.44/31,609.97 = 7,924.74/x
  3. Step 3: Cross multiply
    21,075.44x = 31,609.97 × 7,924.74
  4. Step 4: Simplify right side
    21,075.44x = 250,500,754.03
  5. Step 5: Solve for x
    x = 250,500,754.03/21,075.44
  6. Step 6: Final answer
    x = 11,885.91

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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.