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Finding the Fourth Proportional to 20,151.99, 30,178.44 and 13,894.47

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Solution

The fourth proportional to 20,151.99, 30,178.44 and 13,894.47 is: 20,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.99 : 30,178.44 = 13,894.47 : x
  2. Step 2: Convert to fraction form
    20,151.99/30,178.44 = 13,894.47/x
  3. Step 3: Cross multiply
    20,151.99x = 30,178.44 × 13,894.47
  4. Step 4: Simplify right side
    20,151.99x = 419,313,429.23
  5. Step 5: Solve for x
    x = 419,313,429.23/20,151.99
  6. Step 6: Final answer
    x = 20,807.54

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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.