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Finding the Fourth Proportional to 16,267.40, 24,375.57 and 9,690

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Solution

The fourth proportional to 16,267.40, 24,375.57 and 9,690 is: 14,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.40 : 24,375.57 = 9,690 : x
  2. Step 2: Convert to fraction form
    16,267.40/24,375.57 = 9,690/x
  3. Step 3: Cross multiply
    16,267.40x = 24,375.57 × 9,690
  4. Step 4: Simplify right side
    16,267.40x = 236,199,273.30
  5. Step 5: Solve for x
    x = 236,199,273.30/16,267.40
  6. Step 6: Final answer
    x = 14,519.80

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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.