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Finding the Fourth Proportional to 21,677.70, 32,519.16 and 7,634.83

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Solution

The fourth proportional to 21,677.70, 32,519.16 and 7,634.83 is: 11,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.70 : 32,519.16 = 7,634.83 : x
  2. Step 2: Convert to fraction form
    21,677.70/32,519.16 = 7,634.83/x
  3. Step 3: Cross multiply
    21,677.70x = 32,519.16 × 7,634.83
  4. Step 4: Simplify right side
    21,677.70x = 248,278,258.34
  5. Step 5: Solve for x
    x = 248,278,258.34/21,677.70
  6. Step 6: Final answer
    x = 11,453.16

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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.