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Finding the Fourth Proportional to 13,157.05, 18,160.04 and 8,449.54

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Solution

The fourth proportional to 13,157.05, 18,160.04 and 8,449.54 is: 11,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.05 : 18,160.04 = 8,449.54 : x
  2. Step 2: Convert to fraction form
    13,157.05/18,160.04 = 8,449.54/x
  3. Step 3: Cross multiply
    13,157.05x = 18,160.04 × 8,449.54
  4. Step 4: Simplify right side
    13,157.05x = 153,443,984.38
  5. Step 5: Solve for x
    x = 153,443,984.38/13,157.05
  6. Step 6: Final answer
    x = 11,662.49

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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.