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Finding the Fourth Proportional to 18,638.76, 25,714.20 and 10,676.76

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Solution

The fourth proportional to 18,638.76, 25,714.20 and 10,676.76 is: 14,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.76 : 25,714.20 = 10,676.76 : x
  2. Step 2: Convert to fraction form
    18,638.76/25,714.20 = 10,676.76/x
  3. Step 3: Cross multiply
    18,638.76x = 25,714.20 × 10,676.76
  4. Step 4: Simplify right side
    18,638.76x = 274,544,341.99
  5. Step 5: Solve for x
    x = 274,544,341.99/18,638.76
  6. Step 6: Final answer
    x = 14,729.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.