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Finding the Fourth Proportional to 12,302.28, 18,453.22 and 3,537.17

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Solution

The fourth proportional to 12,302.28, 18,453.22 and 3,537.17 is: 5,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.28 : 18,453.22 = 3,537.17 : x
  2. Step 2: Convert to fraction form
    12,302.28/18,453.22 = 3,537.17/x
  3. Step 3: Cross multiply
    12,302.28x = 18,453.22 × 3,537.17
  4. Step 4: Simplify right side
    12,302.28x = 65,272,144.28
  5. Step 5: Solve for x
    x = 65,272,144.28/12,302.28
  6. Step 6: Final answer
    x = 5,305.69

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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.