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Finding the Fourth Proportional to 13,702.38, 18,908.37 and 7,734.30

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Solution

The fourth proportional to 13,702.38, 18,908.37 and 7,734.30 is: 10,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.38 : 18,908.37 = 7,734.30 : x
  2. Step 2: Convert to fraction form
    13,702.38/18,908.37 = 7,734.30/x
  3. Step 3: Cross multiply
    13,702.38x = 18,908.37 × 7,734.30
  4. Step 4: Simplify right side
    13,702.38x = 146,243,006.09
  5. Step 5: Solve for x
    x = 146,243,006.09/13,702.38
  6. Step 6: Final answer
    x = 10,672.82

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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.