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Finding the Fourth Proportional to 13,187.43, 19,647.96 and 12,560.49

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Solution

The fourth proportional to 13,187.43, 19,647.96 and 12,560.49 is: 18,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.43 : 19,647.96 = 12,560.49 : x
  2. Step 2: Convert to fraction form
    13,187.43/19,647.96 = 12,560.49/x
  3. Step 3: Cross multiply
    13,187.43x = 19,647.96 × 12,560.49
  4. Step 4: Simplify right side
    13,187.43x = 246,788,005.10
  5. Step 5: Solve for x
    x = 246,788,005.10/13,187.43
  6. Step 6: Final answer
    x = 18,713.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.