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Finding the Fourth Proportional to 20,676.64, 31,014 and 10,279.84

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Solution

The fourth proportional to 20,676.64, 31,014 and 10,279.84 is: 15,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.64 : 31,014 = 10,279.84 : x
  2. Step 2: Convert to fraction form
    20,676.64/31,014 = 10,279.84/x
  3. Step 3: Cross multiply
    20,676.64x = 31,014 × 10,279.84
  4. Step 4: Simplify right side
    20,676.64x = 318,818,957.76
  5. Step 5: Solve for x
    x = 318,818,957.76/20,676.64
  6. Step 6: Final answer
    x = 15,419.28

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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.