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Finding the Fourth Proportional to 12,914.39, 17,822.06 and 7,171.69

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Solution

The fourth proportional to 12,914.39, 17,822.06 and 7,171.69 is: 9,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.39 : 17,822.06 = 7,171.69 : x
  2. Step 2: Convert to fraction form
    12,914.39/17,822.06 = 7,171.69/x
  3. Step 3: Cross multiply
    12,914.39x = 17,822.06 × 7,171.69
  4. Step 4: Simplify right side
    12,914.39x = 127,814,289.48
  5. Step 5: Solve for x
    x = 127,814,289.48/12,914.39
  6. Step 6: Final answer
    x = 9,897.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.