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Finding the Fourth Proportional to 16,782.23, 23,158.99 and 9,228.56

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Solution

The fourth proportional to 16,782.23, 23,158.99 and 9,228.56 is: 12,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.23 : 23,158.99 = 9,228.56 : x
  2. Step 2: Convert to fraction form
    16,782.23/23,158.99 = 9,228.56/x
  3. Step 3: Cross multiply
    16,782.23x = 23,158.99 × 9,228.56
  4. Step 4: Simplify right side
    16,782.23x = 213,724,024.50
  5. Step 5: Solve for x
    x = 213,724,024.50/16,782.23
  6. Step 6: Final answer
    x = 12,735.14

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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.