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Finding the Fourth Proportional to 30,586.38, 45,891.81 and 13,954.24

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Solution

The fourth proportional to 30,586.38, 45,891.81 and 13,954.24 is: 20,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.38 : 45,891.81 = 13,954.24 : x
  2. Step 2: Convert to fraction form
    30,586.38/45,891.81 = 13,954.24/x
  3. Step 3: Cross multiply
    30,586.38x = 45,891.81 × 13,954.24
  4. Step 4: Simplify right side
    30,586.38x = 640,385,330.77
  5. Step 5: Solve for x
    x = 640,385,330.77/30,586.38
  6. Step 6: Final answer
    x = 20,936.94

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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.