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Finding the Fourth Proportional to 19,615.30, 27,076.05 and 11,657.43

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Solution

The fourth proportional to 19,615.30, 27,076.05 and 11,657.43 is: 16,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.30 : 27,076.05 = 11,657.43 : x
  2. Step 2: Convert to fraction form
    19,615.30/27,076.05 = 11,657.43/x
  3. Step 3: Cross multiply
    19,615.30x = 27,076.05 × 11,657.43
  4. Step 4: Simplify right side
    19,615.30x = 315,637,157.55
  5. Step 5: Solve for x
    x = 315,637,157.55/19,615.30
  6. Step 6: Final answer
    x = 16,091.38

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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.