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Finding the Fourth Proportional to 27,650.70, 38,158.95 and 15,713.64

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Solution

The fourth proportional to 27,650.70, 38,158.95 and 15,713.64 is: 21,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650.70 : 38,158.95 = 15,713.64 : x
  2. Step 2: Convert to fraction form
    27,650.70/38,158.95 = 15,713.64/x
  3. Step 3: Cross multiply
    27,650.70x = 38,158.95 × 15,713.64
  4. Step 4: Simplify right side
    27,650.70x = 599,616,003.08
  5. Step 5: Solve for x
    x = 599,616,003.08/27,650.70
  6. Step 6: Final answer
    x = 21,685.38

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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.