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Finding the Fourth Proportional to 17,969.64, 26,954.46 and 6,281.88

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Solution

The fourth proportional to 17,969.64, 26,954.46 and 6,281.88 is: 9,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.64 : 26,954.46 = 6,281.88 : x
  2. Step 2: Convert to fraction form
    17,969.64/26,954.46 = 6,281.88/x
  3. Step 3: Cross multiply
    17,969.64x = 26,954.46 × 6,281.88
  4. Step 4: Simplify right side
    17,969.64x = 169,324,683.18
  5. Step 5: Solve for x
    x = 169,324,683.18/17,969.64
  6. Step 6: Final answer
    x = 9,422.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.