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Finding the Fourth Proportional to 29,682.69, 40,963.14 and 20,005.17

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Solution

The fourth proportional to 29,682.69, 40,963.14 and 20,005.17 is: 27,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.69 : 40,963.14 = 20,005.17 : x
  2. Step 2: Convert to fraction form
    29,682.69/40,963.14 = 20,005.17/x
  3. Step 3: Cross multiply
    29,682.69x = 40,963.14 × 20,005.17
  4. Step 4: Simplify right side
    29,682.69x = 819,474,579.43
  5. Step 5: Solve for x
    x = 819,474,579.43/29,682.69
  6. Step 6: Final answer
    x = 27,607.83

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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.