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Finding the Fourth Proportional to 28,198.50, 42,290.82 and 12,407.49

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Solution

The fourth proportional to 28,198.50, 42,290.82 and 12,407.49 is: 18,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.50 : 42,290.82 = 12,407.49 : x
  2. Step 2: Convert to fraction form
    28,198.50/42,290.82 = 12,407.49/x
  3. Step 3: Cross multiply
    28,198.50x = 42,290.82 × 12,407.49
  4. Step 4: Simplify right side
    28,198.50x = 524,722,926.24
  5. Step 5: Solve for x
    x = 524,722,926.24/28,198.50
  6. Step 6: Final answer
    x = 18,608.19

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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.