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Finding the Fourth Proportional to 12,840.38, 17,717.96 and 7,174.43

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Solution

The fourth proportional to 12,840.38, 17,717.96 and 7,174.43 is: 9,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.38 : 17,717.96 = 7,174.43 : x
  2. Step 2: Convert to fraction form
    12,840.38/17,717.96 = 7,174.43/x
  3. Step 3: Cross multiply
    12,840.38x = 17,717.96 × 7,174.43
  4. Step 4: Simplify right side
    12,840.38x = 127,116,263.76
  5. Step 5: Solve for x
    x = 127,116,263.76/12,840.38
  6. Step 6: Final answer
    x = 9,899.73

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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.