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Finding the Fourth Proportional to 18,682.50, 28,023.68 and 6,203.46

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Solution

The fourth proportional to 18,682.50, 28,023.68 and 6,203.46 is: 9,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.50 : 28,023.68 = 6,203.46 : x
  2. Step 2: Convert to fraction form
    18,682.50/28,023.68 = 6,203.46/x
  3. Step 3: Cross multiply
    18,682.50x = 28,023.68 × 6,203.46
  4. Step 4: Simplify right side
    18,682.50x = 173,843,777.93
  5. Step 5: Solve for x
    x = 173,843,777.93/18,682.50
  6. Step 6: Final answer
    x = 9,305.17

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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.