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Finding the Fourth Proportional to 12,002.69, 18,004.32 and 9,539.26

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Solution

The fourth proportional to 12,002.69, 18,004.32 and 9,539.26 is: 14,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.69 : 18,004.32 = 9,539.26 : x
  2. Step 2: Convert to fraction form
    12,002.69/18,004.32 = 9,539.26/x
  3. Step 3: Cross multiply
    12,002.69x = 18,004.32 × 9,539.26
  4. Step 4: Simplify right side
    12,002.69x = 171,747,844.59
  5. Step 5: Solve for x
    x = 171,747,844.59/12,002.69
  6. Step 6: Final answer
    x = 14,309.11

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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.