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Finding the Fourth Proportional to 12,936.24, 17,851.80 and 7,346.88

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Solution

The fourth proportional to 12,936.24, 17,851.80 and 7,346.88 is: 10,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,936.24 : 17,851.80 = 7,346.88 : x
  2. Step 2: Convert to fraction form
    12,936.24/17,851.80 = 7,346.88/x
  3. Step 3: Cross multiply
    12,936.24x = 17,851.80 × 7,346.88
  4. Step 4: Simplify right side
    12,936.24x = 131,155,032.38
  5. Step 5: Solve for x
    x = 131,155,032.38/12,936.24
  6. Step 6: Final answer
    x = 10,138.57

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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.