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Finding the Fourth Proportional to 19,921.75, 27,491.81 and 10,969.16

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Solution

The fourth proportional to 19,921.75, 27,491.81 and 10,969.16 is: 15,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.75 : 27,491.81 = 10,969.16 : x
  2. Step 2: Convert to fraction form
    19,921.75/27,491.81 = 10,969.16/x
  3. Step 3: Cross multiply
    19,921.75x = 27,491.81 × 10,969.16
  4. Step 4: Simplify right side
    19,921.75x = 301,561,870.27
  5. Step 5: Solve for x
    x = 301,561,870.27/19,921.75
  6. Step 6: Final answer
    x = 15,137.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.