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Finding the Fourth Proportional to 12,564.49, 17,335.44 and 8,090.83

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Solution

The fourth proportional to 12,564.49, 17,335.44 and 8,090.83 is: 11,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.49 : 17,335.44 = 8,090.83 : x
  2. Step 2: Convert to fraction form
    12,564.49/17,335.44 = 8,090.83/x
  3. Step 3: Cross multiply
    12,564.49x = 17,335.44 × 8,090.83
  4. Step 4: Simplify right side
    12,564.49x = 140,258,098.02
  5. Step 5: Solve for x
    x = 140,258,098.02/12,564.49
  6. Step 6: Final answer
    x = 11,163.06

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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.