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Finding the Fourth Proportional to 30,846.69, 46,263.08 and 14,190.69

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Solution

The fourth proportional to 30,846.69, 46,263.08 and 14,190.69 is: 21,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.69 : 46,263.08 = 14,190.69 : x
  2. Step 2: Convert to fraction form
    30,846.69/46,263.08 = 14,190.69/x
  3. Step 3: Cross multiply
    30,846.69x = 46,263.08 × 14,190.69
  4. Step 4: Simplify right side
    30,846.69x = 656,505,235.69
  5. Step 5: Solve for x
    x = 656,505,235.69/30,846.69
  6. Step 6: Final answer
    x = 21,282.84

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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.