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Finding the Fourth Proportional to 21,116.75, 31,675.13 and 7,966.05

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Solution

The fourth proportional to 21,116.75, 31,675.13 and 7,966.05 is: 11,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.75 : 31,675.13 = 7,966.05 : x
  2. Step 2: Convert to fraction form
    21,116.75/31,675.13 = 7,966.05/x
  3. Step 3: Cross multiply
    21,116.75x = 31,675.13 × 7,966.05
  4. Step 4: Simplify right side
    21,116.75x = 252,325,669.34
  5. Step 5: Solve for x
    x = 252,325,669.34/21,116.75
  6. Step 6: Final answer
    x = 11,949.08

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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.