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Finding the Fourth Proportional to 12,466.44, 18,678.06 and 9,536.04

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Solution

The fourth proportional to 12,466.44, 18,678.06 and 9,536.04 is: 14,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.44 : 18,678.06 = 9,536.04 : x
  2. Step 2: Convert to fraction form
    12,466.44/18,678.06 = 9,536.04/x
  3. Step 3: Cross multiply
    12,466.44x = 18,678.06 × 9,536.04
  4. Step 4: Simplify right side
    12,466.44x = 178,114,727.28
  5. Step 5: Solve for x
    x = 178,114,727.28/12,466.44
  6. Step 6: Final answer
    x = 14,287.54

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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.