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Finding the Fourth Proportional to 12,926.38, 17,833.72 and 7,334.14

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Solution

The fourth proportional to 12,926.38, 17,833.72 and 7,334.14 is: 10,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.38 : 17,833.72 = 7,334.14 : x
  2. Step 2: Convert to fraction form
    12,926.38/17,833.72 = 7,334.14/x
  3. Step 3: Cross multiply
    12,926.38x = 17,833.72 × 7,334.14
  4. Step 4: Simplify right side
    12,926.38x = 130,794,999.20
  5. Step 5: Solve for x
    x = 130,794,999.20/12,926.38
  6. Step 6: Final answer
    x = 10,118.46

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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.