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Finding the Fourth Proportional to 16,633.90, 22,958.64 and 10,969.66

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Solution

The fourth proportional to 16,633.90, 22,958.64 and 10,969.66 is: 15,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.90 : 22,958.64 = 10,969.66 : x
  2. Step 2: Convert to fraction form
    16,633.90/22,958.64 = 10,969.66/x
  3. Step 3: Cross multiply
    16,633.90x = 22,958.64 × 10,969.66
  4. Step 4: Simplify right side
    16,633.90x = 251,848,474.86
  5. Step 5: Solve for x
    x = 251,848,474.86/16,633.90
  6. Step 6: Final answer
    x = 15,140.68

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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.