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Finding the Fourth Proportional to 23,650.90, 35,479.09 and 7,857.34

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Solution

The fourth proportional to 23,650.90, 35,479.09 and 7,857.34 is: 11,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650.90 : 35,479.09 = 7,857.34 : x
  2. Step 2: Convert to fraction form
    23,650.90/35,479.09 = 7,857.34/x
  3. Step 3: Cross multiply
    23,650.90x = 35,479.09 × 7,857.34
  4. Step 4: Simplify right side
    23,650.90x = 278,771,075.98
  5. Step 5: Solve for x
    x = 278,771,075.98/23,650.90
  6. Step 6: Final answer
    x = 11,786.91

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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.