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Finding the Fourth Proportional to 16,285.67, 22,475.30 and 9,116.26

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Solution

The fourth proportional to 16,285.67, 22,475.30 and 9,116.26 is: 12,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.67 : 22,475.30 = 9,116.26 : x
  2. Step 2: Convert to fraction form
    16,285.67/22,475.30 = 9,116.26/x
  3. Step 3: Cross multiply
    16,285.67x = 22,475.30 × 9,116.26
  4. Step 4: Simplify right side
    16,285.67x = 204,890,678.38
  5. Step 5: Solve for x
    x = 204,890,678.38/16,285.67
  6. Step 6: Final answer
    x = 12,581.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.