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Finding the Fourth Proportional to 20,021.04, 27,630.74 and 11,637

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Solution

The fourth proportional to 20,021.04, 27,630.74 and 11,637 is: 16,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.04 : 27,630.74 = 11,637 : x
  2. Step 2: Convert to fraction form
    20,021.04/27,630.74 = 11,637/x
  3. Step 3: Cross multiply
    20,021.04x = 27,630.74 × 11,637
  4. Step 4: Simplify right side
    20,021.04x = 321,538,921.38
  5. Step 5: Solve for x
    x = 321,538,921.38/20,021.04
  6. Step 6: Final answer
    x = 16,060.05

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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.