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Finding the Fourth Proportional to 14,633.49, 21,950.25 and 6,847.77

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Solution

The fourth proportional to 14,633.49, 21,950.25 and 6,847.77 is: 10,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.49 : 21,950.25 = 6,847.77 : x
  2. Step 2: Convert to fraction form
    14,633.49/21,950.25 = 6,847.77/x
  3. Step 3: Cross multiply
    14,633.49x = 21,950.25 × 6,847.77
  4. Step 4: Simplify right side
    14,633.49x = 150,310,263.44
  5. Step 5: Solve for x
    x = 150,310,263.44/14,633.49
  6. Step 6: Final answer
    x = 10,271.66

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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.