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Finding the Fourth Proportional to 14,137.24, 19,503 and 9,099.66

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Solution

The fourth proportional to 14,137.24, 19,503 and 9,099.66 is: 12,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.24 : 19,503 = 9,099.66 : x
  2. Step 2: Convert to fraction form
    14,137.24/19,503 = 9,099.66/x
  3. Step 3: Cross multiply
    14,137.24x = 19,503 × 9,099.66
  4. Step 4: Simplify right side
    14,137.24x = 177,470,668.98
  5. Step 5: Solve for x
    x = 177,470,668.98/14,137.24
  6. Step 6: Final answer
    x = 12,553.42

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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.