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Finding the Fourth Proportional to 12,072.88, 18,083.28 and 9,969.28

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Solution

The fourth proportional to 12,072.88, 18,083.28 and 9,969.28 is: 14,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.88 : 18,083.28 = 9,969.28 : x
  2. Step 2: Convert to fraction form
    12,072.88/18,083.28 = 9,969.28/x
  3. Step 3: Cross multiply
    12,072.88x = 18,083.28 × 9,969.28
  4. Step 4: Simplify right side
    12,072.88x = 180,277,281.64
  5. Step 5: Solve for x
    x = 180,277,281.64/12,072.88
  6. Step 6: Final answer
    x = 14,932.42

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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.