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Finding the Fourth Proportional to 27,606, 38,100.60 and 16,434.48

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Solution

The fourth proportional to 27,606, 38,100.60 and 16,434.48 is: 22,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606 : 38,100.60 = 16,434.48 : x
  2. Step 2: Convert to fraction form
    27,606/38,100.60 = 16,434.48/x
  3. Step 3: Cross multiply
    27,606x = 38,100.60 × 16,434.48
  4. Step 4: Simplify right side
    27,606x = 626,163,548.69
  5. Step 5: Solve for x
    x = 626,163,548.69/27,606
  6. Step 6: Final answer
    x = 22,682.15

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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.