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Finding the Fourth Proportional to 12,371.70, 18,532.35 and 7,677.30

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Solution

The fourth proportional to 12,371.70, 18,532.35 and 7,677.30 is: 11,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.70 : 18,532.35 = 7,677.30 : x
  2. Step 2: Convert to fraction form
    12,371.70/18,532.35 = 7,677.30/x
  3. Step 3: Cross multiply
    12,371.70x = 18,532.35 × 7,677.30
  4. Step 4: Simplify right side
    12,371.70x = 142,278,410.66
  5. Step 5: Solve for x
    x = 142,278,410.66/12,371.70
  6. Step 6: Final answer
    x = 11,500.31

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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.