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Finding the Fourth Proportional to 16,057.40, 24,086.28 and 7,735.64

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Solution

The fourth proportional to 16,057.40, 24,086.28 and 7,735.64 is: 11,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.40 : 24,086.28 = 7,735.64 : x
  2. Step 2: Convert to fraction form
    16,057.40/24,086.28 = 7,735.64/x
  3. Step 3: Cross multiply
    16,057.40x = 24,086.28 × 7,735.64
  4. Step 4: Simplify right side
    16,057.40x = 186,322,791.02
  5. Step 5: Solve for x
    x = 186,322,791.02/16,057.40
  6. Step 6: Final answer
    x = 11,603.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.