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Finding the Fourth Proportional to 21,092.04, 29,105.88 and 11,660

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Solution

The fourth proportional to 21,092.04, 29,105.88 and 11,660 is: 16,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.04 : 29,105.88 = 11,660 : x
  2. Step 2: Convert to fraction form
    21,092.04/29,105.88 = 11,660/x
  3. Step 3: Cross multiply
    21,092.04x = 29,105.88 × 11,660
  4. Step 4: Simplify right side
    21,092.04x = 339,374,560.80
  5. Step 5: Solve for x
    x = 339,374,560.80/21,092.04
  6. Step 6: Final answer
    x = 16,090.17

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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.