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Finding the Fourth Proportional to 12,675.84, 19,018.62 and 5,278.31

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Solution

The fourth proportional to 12,675.84, 19,018.62 and 5,278.31 is: 7,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.84 : 19,018.62 = 5,278.31 : x
  2. Step 2: Convert to fraction form
    12,675.84/19,018.62 = 5,278.31/x
  3. Step 3: Cross multiply
    12,675.84x = 19,018.62 × 5,278.31
  4. Step 4: Simplify right side
    12,675.84x = 100,386,219.68
  5. Step 5: Solve for x
    x = 100,386,219.68/12,675.84
  6. Step 6: Final answer
    x = 7,919.49

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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.