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Finding the Fourth Proportional to 12,462.50, 18,697.35 and 4,028.82

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Solution

The fourth proportional to 12,462.50, 18,697.35 and 4,028.82 is: 6,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.50 : 18,697.35 = 4,028.82 : x
  2. Step 2: Convert to fraction form
    12,462.50/18,697.35 = 4,028.82/x
  3. Step 3: Cross multiply
    12,462.50x = 18,697.35 × 4,028.82
  4. Step 4: Simplify right side
    12,462.50x = 75,328,257.63
  5. Step 5: Solve for x
    x = 75,328,257.63/12,462.50
  6. Step 6: Final answer
    x = 6,044.40

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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.