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Finding the Fourth Proportional to 17,852.20, 26,741.82 and 8,463.76

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Solution

The fourth proportional to 17,852.20, 26,741.82 and 8,463.76 is: 12,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.20 : 26,741.82 = 8,463.76 : x
  2. Step 2: Convert to fraction form
    17,852.20/26,741.82 = 8,463.76/x
  3. Step 3: Cross multiply
    17,852.20x = 26,741.82 × 8,463.76
  4. Step 4: Simplify right side
    17,852.20x = 226,336,346.44
  5. Step 5: Solve for x
    x = 226,336,346.44/17,852.20
  6. Step 6: Final answer
    x = 12,678.34

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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.