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Finding the Fourth Proportional to 12,809.33, 17,685.10 and 8,035.82

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Solution

The fourth proportional to 12,809.33, 17,685.10 and 8,035.82 is: 11,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.33 : 17,685.10 = 8,035.82 : x
  2. Step 2: Convert to fraction form
    12,809.33/17,685.10 = 8,035.82/x
  3. Step 3: Cross multiply
    12,809.33x = 17,685.10 × 8,035.82
  4. Step 4: Simplify right side
    12,809.33x = 142,114,187.97
  5. Step 5: Solve for x
    x = 142,114,187.97/12,809.33
  6. Step 6: Final answer
    x = 11,094.59

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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.