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Finding the Fourth Proportional to 14,626.80, 21,942 and 4,763.43

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Solution

The fourth proportional to 14,626.80, 21,942 and 4,763.43 is: 7,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.80 : 21,942 = 4,763.43 : x
  2. Step 2: Convert to fraction form
    14,626.80/21,942 = 4,763.43/x
  3. Step 3: Cross multiply
    14,626.80x = 21,942 × 4,763.43
  4. Step 4: Simplify right side
    14,626.80x = 104,519,181.06
  5. Step 5: Solve for x
    x = 104,519,181.06/14,626.80
  6. Step 6: Final answer
    x = 7,145.73

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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.