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Finding the Fourth Proportional to 20,768.76, 31,121.22 and 14,096.58

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Solution

The fourth proportional to 20,768.76, 31,121.22 and 14,096.58 is: 21,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.76 : 31,121.22 = 14,096.58 : x
  2. Step 2: Convert to fraction form
    20,768.76/31,121.22 = 14,096.58/x
  3. Step 3: Cross multiply
    20,768.76x = 31,121.22 × 14,096.58
  4. Step 4: Simplify right side
    20,768.76x = 438,702,767.43
  5. Step 5: Solve for x
    x = 438,702,767.43/20,768.76
  6. Step 6: Final answer
    x = 21,123.20

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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.