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Finding the Fourth Proportional to 16,277.84, 24,391.50 and 11,289.95

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Solution

The fourth proportional to 16,277.84, 24,391.50 and 11,289.95 is: 16,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.84 : 24,391.50 = 11,289.95 : x
  2. Step 2: Convert to fraction form
    16,277.84/24,391.50 = 11,289.95/x
  3. Step 3: Cross multiply
    16,277.84x = 24,391.50 × 11,289.95
  4. Step 4: Simplify right side
    16,277.84x = 275,378,815.43
  5. Step 5: Solve for x
    x = 275,378,815.43/16,277.84
  6. Step 6: Final answer
    x = 16,917.41

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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.