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Finding the Fourth Proportional to 12,256.64, 18,372.16 and 6,008

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Solution

The fourth proportional to 12,256.64, 18,372.16 and 6,008 is: 9,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.64 : 18,372.16 = 6,008 : x
  2. Step 2: Convert to fraction form
    12,256.64/18,372.16 = 6,008/x
  3. Step 3: Cross multiply
    12,256.64x = 18,372.16 × 6,008
  4. Step 4: Simplify right side
    12,256.64x = 110,379,937.28
  5. Step 5: Solve for x
    x = 110,379,937.28/12,256.64
  6. Step 6: Final answer
    x = 9,005.73

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