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Finding the Fourth Proportional to 30,940.46, 46,410.63 and 11,218.96

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Solution

The fourth proportional to 30,940.46, 46,410.63 and 11,218.96 is: 16,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.46 : 46,410.63 = 11,218.96 : x
  2. Step 2: Convert to fraction form
    30,940.46/46,410.63 = 11,218.96/x
  3. Step 3: Cross multiply
    30,940.46x = 46,410.63 × 11,218.96
  4. Step 4: Simplify right side
    30,940.46x = 520,679,001.54
  5. Step 5: Solve for x
    x = 520,679,001.54/30,940.46
  6. Step 6: Final answer
    x = 16,828.42

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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.