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Finding the Fourth Proportional to 17,824.46, 26,742.78 and 6,734.34

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Solution

The fourth proportional to 17,824.46, 26,742.78 and 6,734.34 is: 10,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.46 : 26,742.78 = 6,734.34 : x
  2. Step 2: Convert to fraction form
    17,824.46/26,742.78 = 6,734.34/x
  3. Step 3: Cross multiply
    17,824.46x = 26,742.78 × 6,734.34
  4. Step 4: Simplify right side
    17,824.46x = 180,094,973.07
  5. Step 5: Solve for x
    x = 180,094,973.07/17,824.46
  6. Step 6: Final answer
    x = 10,103.81

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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.