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Finding the Fourth Proportional to 20,038.38, 27,653.97 and 12,083.16

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Solution

The fourth proportional to 20,038.38, 27,653.97 and 12,083.16 is: 16,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.38 : 27,653.97 = 12,083.16 : x
  2. Step 2: Convert to fraction form
    20,038.38/27,653.97 = 12,083.16/x
  3. Step 3: Cross multiply
    20,038.38x = 27,653.97 × 12,083.16
  4. Step 4: Simplify right side
    20,038.38x = 334,147,344.15
  5. Step 5: Solve for x
    x = 334,147,344.15/20,038.38
  6. Step 6: Final answer
    x = 16,675.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.