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Finding the Fourth Proportional to 19,689.84, 27,181.08 and 12,137.52

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Solution

The fourth proportional to 19,689.84, 27,181.08 and 12,137.52 is: 16,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.84 : 27,181.08 = 12,137.52 : x
  2. Step 2: Convert to fraction form
    19,689.84/27,181.08 = 12,137.52/x
  3. Step 3: Cross multiply
    19,689.84x = 27,181.08 × 12,137.52
  4. Step 4: Simplify right side
    19,689.84x = 329,910,902.12
  5. Step 5: Solve for x
    x = 329,910,902.12/19,689.84
  6. Step 6: Final answer
    x = 16,755.39

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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.