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Finding the Fourth Proportional to 12,469.56, 17,208.32 and 7,434.18

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Solution

The fourth proportional to 12,469.56, 17,208.32 and 7,434.18 is: 10,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.56 : 17,208.32 = 7,434.18 : x
  2. Step 2: Convert to fraction form
    12,469.56/17,208.32 = 7,434.18/x
  3. Step 3: Cross multiply
    12,469.56x = 17,208.32 × 7,434.18
  4. Step 4: Simplify right side
    12,469.56x = 127,929,748.38
  5. Step 5: Solve for x
    x = 127,929,748.38/12,469.56
  6. Step 6: Final answer
    x = 10,259.36

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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.