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Finding the Fourth Proportional to 13,133.96, 18,125.32 and 7,469.64

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Solution

The fourth proportional to 13,133.96, 18,125.32 and 7,469.64 is: 10,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.96 : 18,125.32 = 7,469.64 : x
  2. Step 2: Convert to fraction form
    13,133.96/18,125.32 = 7,469.64/x
  3. Step 3: Cross multiply
    13,133.96x = 18,125.32 × 7,469.64
  4. Step 4: Simplify right side
    13,133.96x = 135,389,615.28
  5. Step 5: Solve for x
    x = 135,389,615.28/13,133.96
  6. Step 6: Final answer
    x = 10,308.36

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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.