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Finding the Fourth Proportional to 12,014.50, 18,007.11 and 8,505.50

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Solution

The fourth proportional to 12,014.50, 18,007.11 and 8,505.50 is: 12,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.50 : 18,007.11 = 8,505.50 : x
  2. Step 2: Convert to fraction form
    12,014.50/18,007.11 = 8,505.50/x
  3. Step 3: Cross multiply
    12,014.50x = 18,007.11 × 8,505.50
  4. Step 4: Simplify right side
    12,014.50x = 153,159,474.11
  5. Step 5: Solve for x
    x = 153,159,474.11/12,014.50
  6. Step 6: Final answer
    x = 12,747.89

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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.