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Finding the Fourth Proportional to 12,676.29, 19,017.68 and 5,278.29

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Solution

The fourth proportional to 12,676.29, 19,017.68 and 5,278.29 is: 7,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.29 : 19,017.68 = 5,278.29 : x
  2. Step 2: Convert to fraction form
    12,676.29/19,017.68 = 5,278.29/x
  3. Step 3: Cross multiply
    12,676.29x = 19,017.68 × 5,278.29
  4. Step 4: Simplify right side
    12,676.29x = 100,380,830.17
  5. Step 5: Solve for x
    x = 100,380,830.17/12,676.29
  6. Step 6: Final answer
    x = 7,918.79

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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.