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Finding the Fourth Proportional to 12,174.34, 18,225.91 and 11,007.03

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Solution

The fourth proportional to 12,174.34, 18,225.91 and 11,007.03 is: 16,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.34 : 18,225.91 = 11,007.03 : x
  2. Step 2: Convert to fraction form
    12,174.34/18,225.91 = 11,007.03/x
  3. Step 3: Cross multiply
    12,174.34x = 18,225.91 × 11,007.03
  4. Step 4: Simplify right side
    12,174.34x = 200,613,138.15
  5. Step 5: Solve for x
    x = 200,613,138.15/12,174.34
  6. Step 6: Final answer
    x = 16,478.36

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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.