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Finding the Fourth Proportional to 12,546.72, 17,300.12 and 11,783.97

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Solution

The fourth proportional to 12,546.72, 17,300.12 and 11,783.97 is: 16,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.72 : 17,300.12 = 11,783.97 : x
  2. Step 2: Convert to fraction form
    12,546.72/17,300.12 = 11,783.97/x
  3. Step 3: Cross multiply
    12,546.72x = 17,300.12 × 11,783.97
  4. Step 4: Simplify right side
    12,546.72x = 203,864,036.16
  5. Step 5: Solve for x
    x = 203,864,036.16/12,546.72
  6. Step 6: Final answer
    x = 16,248.39

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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.