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Finding the Fourth Proportional to 12,666.13, 18,999.20 and 5,644.33

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Solution

The fourth proportional to 12,666.13, 18,999.20 and 5,644.33 is: 8,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.13 : 18,999.20 = 5,644.33 : x
  2. Step 2: Convert to fraction form
    12,666.13/18,999.20 = 5,644.33/x
  3. Step 3: Cross multiply
    12,666.13x = 18,999.20 × 5,644.33
  4. Step 4: Simplify right side
    12,666.13x = 107,237,754.54
  5. Step 5: Solve for x
    x = 107,237,754.54/12,666.13
  6. Step 6: Final answer
    x = 8,466.50

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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.