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Finding the Fourth Proportional to 16,456.51, 22,709.90 and 8,902.82

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Solution

The fourth proportional to 16,456.51, 22,709.90 and 8,902.82 is: 12,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.51 : 22,709.90 = 8,902.82 : x
  2. Step 2: Convert to fraction form
    16,456.51/22,709.90 = 8,902.82/x
  3. Step 3: Cross multiply
    16,456.51x = 22,709.90 × 8,902.82
  4. Step 4: Simplify right side
    16,456.51x = 202,182,164.18
  5. Step 5: Solve for x
    x = 202,182,164.18/16,456.51
  6. Step 6: Final answer
    x = 12,285.85

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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.