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Finding the Fourth Proportional to 12,853.81, 17,761.35 and 10,028.26

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Solution

The fourth proportional to 12,853.81, 17,761.35 and 10,028.26 is: 13,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.81 : 17,761.35 = 10,028.26 : x
  2. Step 2: Convert to fraction form
    12,853.81/17,761.35 = 10,028.26/x
  3. Step 3: Cross multiply
    12,853.81x = 17,761.35 × 10,028.26
  4. Step 4: Simplify right side
    12,853.81x = 178,115,435.75
  5. Step 5: Solve for x
    x = 178,115,435.75/12,853.81
  6. Step 6: Final answer
    x = 13,857.01

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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.