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Finding the Fourth Proportional to 16,406.83, 24,634.85 and 9,394.75

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Solution

The fourth proportional to 16,406.83, 24,634.85 and 9,394.75 is: 14,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.83 : 24,634.85 = 9,394.75 : x
  2. Step 2: Convert to fraction form
    16,406.83/24,634.85 = 9,394.75/x
  3. Step 3: Cross multiply
    16,406.83x = 24,634.85 × 9,394.75
  4. Step 4: Simplify right side
    16,406.83x = 231,438,257.04
  5. Step 5: Solve for x
    x = 231,438,257.04/16,406.83
  6. Step 6: Final answer
    x = 14,106.21

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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.