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Finding the Fourth Proportional to 14,633.62, 21,950.42 and 6,847.90

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Solution

The fourth proportional to 14,633.62, 21,950.42 and 6,847.90 is: 10,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.62 : 21,950.42 = 6,847.90 : x
  2. Step 2: Convert to fraction form
    14,633.62/21,950.42 = 6,847.90/x
  3. Step 3: Cross multiply
    14,633.62x = 21,950.42 × 6,847.90
  4. Step 4: Simplify right side
    14,633.62x = 150,314,281.12
  5. Step 5: Solve for x
    x = 150,314,281.12/14,633.62
  6. Step 6: Final answer
    x = 10,271.85

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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.