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Finding the Fourth Proportional to 16,782.11, 23,159.39 and 9,228.92

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Solution

The fourth proportional to 16,782.11, 23,159.39 and 9,228.92 is: 12,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.11 : 23,159.39 = 9,228.92 : x
  2. Step 2: Convert to fraction form
    16,782.11/23,159.39 = 9,228.92/x
  3. Step 3: Cross multiply
    16,782.11x = 23,159.39 × 9,228.92
  4. Step 4: Simplify right side
    16,782.11x = 213,736,157.56
  5. Step 5: Solve for x
    x = 213,736,157.56/16,782.11
  6. Step 6: Final answer
    x = 12,735.95

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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.