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Finding the Fourth Proportional to 12,031.38, 18,033.39 and 7,530.53

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Solution

The fourth proportional to 12,031.38, 18,033.39 and 7,530.53 is: 11,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.38 : 18,033.39 = 7,530.53 : x
  2. Step 2: Convert to fraction form
    12,031.38/18,033.39 = 7,530.53/x
  3. Step 3: Cross multiply
    12,031.38x = 18,033.39 × 7,530.53
  4. Step 4: Simplify right side
    12,031.38x = 135,800,894.23
  5. Step 5: Solve for x
    x = 135,800,894.23/12,031.38
  6. Step 6: Final answer
    x = 11,287.23

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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.