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Finding the Fourth Proportional to 16,917.86, 23,346.14 and 9,364.50

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Solution

The fourth proportional to 16,917.86, 23,346.14 and 9,364.50 is: 12,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917.86 : 23,346.14 = 9,364.50 : x
  2. Step 2: Convert to fraction form
    16,917.86/23,346.14 = 9,364.50/x
  3. Step 3: Cross multiply
    16,917.86x = 23,346.14 × 9,364.50
  4. Step 4: Simplify right side
    16,917.86x = 218,624,928.03
  5. Step 5: Solve for x
    x = 218,624,928.03/16,917.86
  6. Step 6: Final answer
    x = 12,922.73

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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.