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Finding the Fourth Proportional to 20,137.29, 30,216.80 and 11,833.53

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Solution

The fourth proportional to 20,137.29, 30,216.80 and 11,833.53 is: 17,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.29 : 30,216.80 = 11,833.53 : x
  2. Step 2: Convert to fraction form
    20,137.29/30,216.80 = 11,833.53/x
  3. Step 3: Cross multiply
    20,137.29x = 30,216.80 × 11,833.53
  4. Step 4: Simplify right side
    20,137.29x = 357,571,409.30
  5. Step 5: Solve for x
    x = 357,571,409.30/20,137.29
  6. Step 6: Final answer
    x = 17,756.68

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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.