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Finding the Fourth Proportional to 21,119.74, 31,680.21 and 7,969.19

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Solution

The fourth proportional to 21,119.74, 31,680.21 and 7,969.19 is: 11,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119.74 : 31,680.21 = 7,969.19 : x
  2. Step 2: Convert to fraction form
    21,119.74/31,680.21 = 7,969.19/x
  3. Step 3: Cross multiply
    21,119.74x = 31,680.21 × 7,969.19
  4. Step 4: Simplify right side
    21,119.74x = 252,465,484.21
  5. Step 5: Solve for x
    x = 252,465,484.21/21,119.74
  6. Step 6: Final answer
    x = 11,954.01

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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.