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Finding the Fourth Proportional to 18,419.44, 27,641.52 and 6,733.84

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Solution

The fourth proportional to 18,419.44, 27,641.52 and 6,733.84 is: 10,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419.44 : 27,641.52 = 6,733.84 : x
  2. Step 2: Convert to fraction form
    18,419.44/27,641.52 = 6,733.84/x
  3. Step 3: Cross multiply
    18,419.44x = 27,641.52 × 6,733.84
  4. Step 4: Simplify right side
    18,419.44x = 186,133,573.04
  5. Step 5: Solve for x
    x = 186,133,573.04/18,419.44
  6. Step 6: Final answer
    x = 10,105.28

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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.