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Finding the Fourth Proportional to 13,846, 19,107.84 and 7,558.96

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Solution

The fourth proportional to 13,846, 19,107.84 and 7,558.96 is: 10,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846 : 19,107.84 = 7,558.96 : x
  2. Step 2: Convert to fraction form
    13,846/19,107.84 = 7,558.96/x
  3. Step 3: Cross multiply
    13,846x = 19,107.84 × 7,558.96
  4. Step 4: Simplify right side
    13,846x = 144,435,398.25
  5. Step 5: Solve for x
    x = 144,435,398.25/13,846
  6. Step 6: Final answer
    x = 10,431.56

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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.