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Finding the Fourth Proportional to 13,627.60, 18,808.92 and 8,040.40

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Solution

The fourth proportional to 13,627.60, 18,808.92 and 8,040.40 is: 11,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.60 : 18,808.92 = 8,040.40 : x
  2. Step 2: Convert to fraction form
    13,627.60/18,808.92 = 8,040.40/x
  3. Step 3: Cross multiply
    13,627.60x = 18,808.92 × 8,040.40
  4. Step 4: Simplify right side
    13,627.60x = 151,231,240.37
  5. Step 5: Solve for x
    x = 151,231,240.37/13,627.60
  6. Step 6: Final answer
    x = 11,097.42

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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.