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Finding the Fourth Proportional to 12,644.34, 17,445.69 and 8,168.28

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Solution

The fourth proportional to 12,644.34, 17,445.69 and 8,168.28 is: 11,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.34 : 17,445.69 = 8,168.28 : x
  2. Step 2: Convert to fraction form
    12,644.34/17,445.69 = 8,168.28/x
  3. Step 3: Cross multiply
    12,644.34x = 17,445.69 × 8,168.28
  4. Step 4: Simplify right side
    12,644.34x = 142,501,280.71
  5. Step 5: Solve for x
    x = 142,501,280.71/12,644.34
  6. Step 6: Final answer
    x = 11,269.97

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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.