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Finding the Fourth Proportional to 18,782.82, 28,174.23 and 5,456.16

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Solution

The fourth proportional to 18,782.82, 28,174.23 and 5,456.16 is: 8,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.82 : 28,174.23 = 5,456.16 : x
  2. Step 2: Convert to fraction form
    18,782.82/28,174.23 = 5,456.16/x
  3. Step 3: Cross multiply
    18,782.82x = 28,174.23 × 5,456.16
  4. Step 4: Simplify right side
    18,782.82x = 153,723,106.76
  5. Step 5: Solve for x
    x = 153,723,106.76/18,782.82
  6. Step 6: Final answer
    x = 8,184.24

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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.