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Finding the Fourth Proportional to 16,422.94, 24,634.23 and 4,735.78

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Solution

The fourth proportional to 16,422.94, 24,634.23 and 4,735.78 is: 7,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.94 : 24,634.23 = 4,735.78 : x
  2. Step 2: Convert to fraction form
    16,422.94/24,634.23 = 4,735.78/x
  3. Step 3: Cross multiply
    16,422.94x = 24,634.23 × 4,735.78
  4. Step 4: Simplify right side
    16,422.94x = 116,662,293.75
  5. Step 5: Solve for x
    x = 116,662,293.75/16,422.94
  6. Step 6: Final answer
    x = 7,103.62

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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.