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Finding the Fourth Proportional to 20,768.32, 31,153.02 and 15,846.76

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Solution

The fourth proportional to 20,768.32, 31,153.02 and 15,846.76 is: 23,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.32 : 31,153.02 = 15,846.76 : x
  2. Step 2: Convert to fraction form
    20,768.32/31,153.02 = 15,846.76/x
  3. Step 3: Cross multiply
    20,768.32x = 31,153.02 × 15,846.76
  4. Step 4: Simplify right side
    20,768.32x = 493,674,431.22
  5. Step 5: Solve for x
    x = 493,674,431.22/20,768.32
  6. Step 6: Final answer
    x = 23,770.55

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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.