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Finding the Fourth Proportional to 13,672.98, 18,864.60 and 8,362.38

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Solution

The fourth proportional to 13,672.98, 18,864.60 and 8,362.38 is: 11,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.98 : 18,864.60 = 8,362.38 : x
  2. Step 2: Convert to fraction form
    13,672.98/18,864.60 = 8,362.38/x
  3. Step 3: Cross multiply
    13,672.98x = 18,864.60 × 8,362.38
  4. Step 4: Simplify right side
    13,672.98x = 157,752,953.75
  5. Step 5: Solve for x
    x = 157,752,953.75/13,672.98
  6. Step 6: Final answer
    x = 11,537.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.