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Finding the Fourth Proportional to 12,677.82, 19,018 and 4,356.74

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Solution

The fourth proportional to 12,677.82, 19,018 and 4,356.74 is: 6,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.82 : 19,018 = 4,356.74 : x
  2. Step 2: Convert to fraction form
    12,677.82/19,018 = 4,356.74/x
  3. Step 3: Cross multiply
    12,677.82x = 19,018 × 4,356.74
  4. Step 4: Simplify right side
    12,677.82x = 82,856,481.32
  5. Step 5: Solve for x
    x = 82,856,481.32/12,677.82
  6. Step 6: Final answer
    x = 6,535.55

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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.