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Finding the Fourth Proportional to 12,842.31, 17,722.49 and 7,253.31

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Solution

The fourth proportional to 12,842.31, 17,722.49 and 7,253.31 is: 10,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.31 : 17,722.49 = 7,253.31 : x
  2. Step 2: Convert to fraction form
    12,842.31/17,722.49 = 7,253.31/x
  3. Step 3: Cross multiply
    12,842.31x = 17,722.49 × 7,253.31
  4. Step 4: Simplify right side
    12,842.31x = 128,546,713.94
  5. Step 5: Solve for x
    x = 128,546,713.94/12,842.31
  6. Step 6: Final answer
    x = 10,009.63

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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.