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Finding the Fourth Proportional to 12,564.61, 17,335.62 and 8,090.96

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Solution

The fourth proportional to 12,564.61, 17,335.62 and 8,090.96 is: 11,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.61 : 17,335.62 = 8,090.96 : x
  2. Step 2: Convert to fraction form
    12,564.61/17,335.62 = 8,090.96/x
  3. Step 3: Cross multiply
    12,564.61x = 17,335.62 × 8,090.96
  4. Step 4: Simplify right side
    12,564.61x = 140,261,721.32
  5. Step 5: Solve for x
    x = 140,261,721.32/12,564.61
  6. Step 6: Final answer
    x = 11,163.24

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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.