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Finding the Fourth Proportional to 11,969.17, 17,953.74 and 3,203.84

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Solution

The fourth proportional to 11,969.17, 17,953.74 and 3,203.84 is: 4,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.17 : 17,953.74 = 3,203.84 : x
  2. Step 2: Convert to fraction form
    11,969.17/17,953.74 = 3,203.84/x
  3. Step 3: Cross multiply
    11,969.17x = 17,953.74 × 3,203.84
  4. Step 4: Simplify right side
    11,969.17x = 57,520,955.25
  5. Step 5: Solve for x
    x = 57,520,955.25/11,969.17
  6. Step 6: Final answer
    x = 4,805.76

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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.