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Finding the Fourth Proportional to 23,175.40, 34,763.10 and 8,384.80

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Solution

The fourth proportional to 23,175.40, 34,763.10 and 8,384.80 is: 12,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.40 : 34,763.10 = 8,384.80 : x
  2. Step 2: Convert to fraction form
    23,175.40/34,763.10 = 8,384.80/x
  3. Step 3: Cross multiply
    23,175.40x = 34,763.10 × 8,384.80
  4. Step 4: Simplify right side
    23,175.40x = 291,481,640.88
  5. Step 5: Solve for x
    x = 291,481,640.88/23,175.40
  6. Step 6: Final answer
    x = 12,577.20

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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.