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Finding the Fourth Proportional to 20,356.53, 30,509.28 and 11,596.38

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Solution

The fourth proportional to 20,356.53, 30,509.28 and 11,596.38 is: 17,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.53 : 30,509.28 = 11,596.38 : x
  2. Step 2: Convert to fraction form
    20,356.53/30,509.28 = 11,596.38/x
  3. Step 3: Cross multiply
    20,356.53x = 30,509.28 × 11,596.38
  4. Step 4: Simplify right side
    20,356.53x = 353,797,204.41
  5. Step 5: Solve for x
    x = 353,797,204.41/20,356.53
  6. Step 6: Final answer
    x = 17,380.04

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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.