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Finding the Fourth Proportional to 11,652.65, 17,466.67 and 8,363.96

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Solution

The fourth proportional to 11,652.65, 17,466.67 and 8,363.96 is: 12,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.65 : 17,466.67 = 8,363.96 : x
  2. Step 2: Convert to fraction form
    11,652.65/17,466.67 = 8,363.96/x
  3. Step 3: Cross multiply
    11,652.65x = 17,466.67 × 8,363.96
  4. Step 4: Simplify right side
    11,652.65x = 146,090,487.39
  5. Step 5: Solve for x
    x = 146,090,487.39/11,652.65
  6. Step 6: Final answer
    x = 12,537.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.