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Finding the Fourth Proportional to 16,456.29, 22,709.63 and 8,902.64

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Solution

The fourth proportional to 16,456.29, 22,709.63 and 8,902.64 is: 12,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.29 : 22,709.63 = 8,902.64 : x
  2. Step 2: Convert to fraction form
    16,456.29/22,709.63 = 8,902.64/x
  3. Step 3: Cross multiply
    16,456.29x = 22,709.63 × 8,902.64
  4. Step 4: Simplify right side
    16,456.29x = 202,175,502.36
  5. Step 5: Solve for x
    x = 202,175,502.36/16,456.29
  6. Step 6: Final answer
    x = 12,285.61

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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.