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Finding the Fourth Proportional to 13,675.57, 18,872.30 and 7,387.95

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Solution

The fourth proportional to 13,675.57, 18,872.30 and 7,387.95 is: 10,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.57 : 18,872.30 = 7,387.95 : x
  2. Step 2: Convert to fraction form
    13,675.57/18,872.30 = 7,387.95/x
  3. Step 3: Cross multiply
    13,675.57x = 18,872.30 × 7,387.95
  4. Step 4: Simplify right side
    13,675.57x = 139,427,608.79
  5. Step 5: Solve for x
    x = 139,427,608.79/13,675.57
  6. Step 6: Final answer
    x = 10,195.38

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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.