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Finding the Fourth Proportional to 20,915.68, 31,378.96 and 7,771.84

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Solution

The fourth proportional to 20,915.68, 31,378.96 and 7,771.84 is: 11,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.68 : 31,378.96 = 7,771.84 : x
  2. Step 2: Convert to fraction form
    20,915.68/31,378.96 = 7,771.84/x
  3. Step 3: Cross multiply
    20,915.68x = 31,378.96 × 7,771.84
  4. Step 4: Simplify right side
    20,915.68x = 243,872,256.49
  5. Step 5: Solve for x
    x = 243,872,256.49/20,915.68
  6. Step 6: Final answer
    x = 11,659.78

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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.