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Finding the Fourth Proportional to 11,418.14, 15,748.34 and 9,827.44

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Solution

The fourth proportional to 11,418.14, 15,748.34 and 9,827.44 is: 13,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.14 : 15,748.34 = 9,827.44 : x
  2. Step 2: Convert to fraction form
    11,418.14/15,748.34 = 9,827.44/x
  3. Step 3: Cross multiply
    11,418.14x = 15,748.34 × 9,827.44
  4. Step 4: Simplify right side
    11,418.14x = 154,765,866.45
  5. Step 5: Solve for x
    x = 154,765,866.45/11,418.14
  6. Step 6: Final answer
    x = 13,554.39

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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.