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Finding the Fourth Proportional to 14,059, 21,091.74 and 4,825

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Solution

The fourth proportional to 14,059, 21,091.74 and 4,825 is: 7,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059 : 21,091.74 = 4,825 : x
  2. Step 2: Convert to fraction form
    14,059/21,091.74 = 4,825/x
  3. Step 3: Cross multiply
    14,059x = 21,091.74 × 4,825
  4. Step 4: Simplify right side
    14,059x = 101,767,645.50
  5. Step 5: Solve for x
    x = 101,767,645.50/14,059
  6. Step 6: Final answer
    x = 7,238.61

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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.