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Finding the Fourth Proportional to 16,780.99, 23,157.86 and 9,227.81

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Solution

The fourth proportional to 16,780.99, 23,157.86 and 9,227.81 is: 12,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.99 : 23,157.86 = 9,227.81 : x
  2. Step 2: Convert to fraction form
    16,780.99/23,157.86 = 9,227.81/x
  3. Step 3: Cross multiply
    16,780.99x = 23,157.86 × 9,227.81
  4. Step 4: Simplify right side
    16,780.99x = 213,696,332.09
  5. Step 5: Solve for x
    x = 213,696,332.09/16,780.99
  6. Step 6: Final answer
    x = 12,734.43

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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.