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Finding the Fourth Proportional to 13,837.38, 19,099.65 and 7,872.38

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Solution

The fourth proportional to 13,837.38, 19,099.65 and 7,872.38 is: 10,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.38 : 19,099.65 = 7,872.38 : x
  2. Step 2: Convert to fraction form
    13,837.38/19,099.65 = 7,872.38/x
  3. Step 3: Cross multiply
    13,837.38x = 19,099.65 × 7,872.38
  4. Step 4: Simplify right side
    13,837.38x = 150,359,702.67
  5. Step 5: Solve for x
    x = 150,359,702.67/13,837.38
  6. Step 6: Final answer
    x = 10,866.20

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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.