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Finding the Fourth Proportional to 12,671.80, 19,008.22 and 3,787

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Solution

The fourth proportional to 12,671.80, 19,008.22 and 3,787 is: 5,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.80 : 19,008.22 = 3,787 : x
  2. Step 2: Convert to fraction form
    12,671.80/19,008.22 = 3,787/x
  3. Step 3: Cross multiply
    12,671.80x = 19,008.22 × 3,787
  4. Step 4: Simplify right side
    12,671.80x = 71,984,129.14
  5. Step 5: Solve for x
    x = 71,984,129.14/12,671.80
  6. Step 6: Final answer
    x = 5,680.66

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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.