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Finding the Fourth Proportional to 12,033.10, 18,049.65 and 9,117.10

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Solution

The fourth proportional to 12,033.10, 18,049.65 and 9,117.10 is: 13,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.10 : 18,049.65 = 9,117.10 : x
  2. Step 2: Convert to fraction form
    12,033.10/18,049.65 = 9,117.10/x
  3. Step 3: Cross multiply
    12,033.10x = 18,049.65 × 9,117.10
  4. Step 4: Simplify right side
    12,033.10x = 164,560,464.02
  5. Step 5: Solve for x
    x = 164,560,464.02/12,033.10
  6. Step 6: Final answer
    x = 13,675.65

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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.