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Finding the Fourth Proportional to 14,638.32, 21,950.10 and 6,738.48

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Solution

The fourth proportional to 14,638.32, 21,950.10 and 6,738.48 is: 10,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.32 : 21,950.10 = 6,738.48 : x
  2. Step 2: Convert to fraction form
    14,638.32/21,950.10 = 6,738.48/x
  3. Step 3: Cross multiply
    14,638.32x = 21,950.10 × 6,738.48
  4. Step 4: Simplify right side
    14,638.32x = 147,910,309.85
  5. Step 5: Solve for x
    x = 147,910,309.85/14,638.32
  6. Step 6: Final answer
    x = 10,104.32

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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.