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Finding the Fourth Proportional to 12,816.67, 17,686.29 and 8,036.82

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Solution

The fourth proportional to 12,816.67, 17,686.29 and 8,036.82 is: 11,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.67 : 17,686.29 = 8,036.82 : x
  2. Step 2: Convert to fraction form
    12,816.67/17,686.29 = 8,036.82/x
  3. Step 3: Cross multiply
    12,816.67x = 17,686.29 × 8,036.82
  4. Step 4: Simplify right side
    12,816.67x = 142,141,529.20
  5. Step 5: Solve for x
    x = 142,141,529.20/12,816.67
  6. Step 6: Final answer
    x = 11,090.36

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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.