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Finding the Fourth Proportional to 12,038.28, 18,033.16 and 10,083.48

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Solution

The fourth proportional to 12,038.28, 18,033.16 and 10,083.48 is: 15,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.28 : 18,033.16 = 10,083.48 : x
  2. Step 2: Convert to fraction form
    12,038.28/18,033.16 = 10,083.48/x
  3. Step 3: Cross multiply
    12,038.28x = 18,033.16 × 10,083.48
  4. Step 4: Simplify right side
    12,038.28x = 181,837,008.20
  5. Step 5: Solve for x
    x = 181,837,008.20/12,038.28
  6. Step 6: Final answer
    x = 15,104.90

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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.