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Finding the Fourth Proportional to 13,092.32, 18,027.84 and 11,284.40

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Solution

The fourth proportional to 13,092.32, 18,027.84 and 11,284.40 is: 15,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.32 : 18,027.84 = 11,284.40 : x
  2. Step 2: Convert to fraction form
    13,092.32/18,027.84 = 11,284.40/x
  3. Step 3: Cross multiply
    13,092.32x = 18,027.84 × 11,284.40
  4. Step 4: Simplify right side
    13,092.32x = 203,433,357.70
  5. Step 5: Solve for x
    x = 203,433,357.70/13,092.32
  6. Step 6: Final answer
    x = 15,538.37

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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.