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Finding the Fourth Proportional to 20,156.85, 30,288.74 and 10,803.78

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Solution

The fourth proportional to 20,156.85, 30,288.74 and 10,803.78 is: 16,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.85 : 30,288.74 = 10,803.78 : x
  2. Step 2: Convert to fraction form
    20,156.85/30,288.74 = 10,803.78/x
  3. Step 3: Cross multiply
    20,156.85x = 30,288.74 × 10,803.78
  4. Step 4: Simplify right side
    20,156.85x = 327,232,829.42
  5. Step 5: Solve for x
    x = 327,232,829.42/20,156.85
  6. Step 6: Final answer
    x = 16,234.32

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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.