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Finding the Fourth Proportional to 30,786.34, 46,161.07 and 14,960.23

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Solution

The fourth proportional to 30,786.34, 46,161.07 and 14,960.23 is: 22,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.34 : 46,161.07 = 14,960.23 : x
  2. Step 2: Convert to fraction form
    30,786.34/46,161.07 = 14,960.23/x
  3. Step 3: Cross multiply
    30,786.34x = 46,161.07 × 14,960.23
  4. Step 4: Simplify right side
    30,786.34x = 690,580,224.25
  5. Step 5: Solve for x
    x = 690,580,224.25/30,786.34
  6. Step 6: Final answer
    x = 22,431.38

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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.