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Finding the Fourth Proportional to 18,419.64, 27,631.26 and 7,323.84

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Solution

The fourth proportional to 18,419.64, 27,631.26 and 7,323.84 is: 10,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419.64 : 27,631.26 = 7,323.84 : x
  2. Step 2: Convert to fraction form
    18,419.64/27,631.26 = 7,323.84/x
  3. Step 3: Cross multiply
    18,419.64x = 27,631.26 × 7,323.84
  4. Step 4: Simplify right side
    18,419.64x = 202,366,927.24
  5. Step 5: Solve for x
    x = 202,366,927.24/18,419.64
  6. Step 6: Final answer
    x = 10,986.48

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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.