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Finding the Fourth Proportional to 21,086.28, 29,097.54 and 11,655

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Solution

The fourth proportional to 21,086.28, 29,097.54 and 11,655 is: 16,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.28 : 29,097.54 = 11,655 : x
  2. Step 2: Convert to fraction form
    21,086.28/29,097.54 = 11,655/x
  3. Step 3: Cross multiply
    21,086.28x = 29,097.54 × 11,655
  4. Step 4: Simplify right side
    21,086.28x = 339,131,828.70
  5. Step 5: Solve for x
    x = 339,131,828.70/21,086.28
  6. Step 6: Final answer
    x = 16,083.06

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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.