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Finding the Fourth Proportional to 12,371.27, 17,069.94 and 10,009.31

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Solution

The fourth proportional to 12,371.27, 17,069.94 and 10,009.31 is: 13,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.27 : 17,069.94 = 10,009.31 : x
  2. Step 2: Convert to fraction form
    12,371.27/17,069.94 = 10,009.31/x
  3. Step 3: Cross multiply
    12,371.27x = 17,069.94 × 10,009.31
  4. Step 4: Simplify right side
    12,371.27x = 170,858,235.79
  5. Step 5: Solve for x
    x = 170,858,235.79/12,371.27
  6. Step 6: Final answer
    x = 13,810.89

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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.