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Finding the Fourth Proportional to 16,456.40, 22,709.73 and 8,902.68

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Solution

The fourth proportional to 16,456.40, 22,709.73 and 8,902.68 is: 12,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.40 : 22,709.73 = 8,902.68 : x
  2. Step 2: Convert to fraction form
    16,456.40/22,709.73 = 8,902.68/x
  3. Step 3: Cross multiply
    16,456.40x = 22,709.73 × 8,902.68
  4. Step 4: Simplify right side
    16,456.40x = 202,177,407.30
  5. Step 5: Solve for x
    x = 202,177,407.30/16,456.40
  6. Step 6: Final answer
    x = 12,285.64

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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.