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Finding the Fourth Proportional to 27,695.28, 38,220.21 and 15,120.30

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Solution

The fourth proportional to 27,695.28, 38,220.21 and 15,120.30 is: 20,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.28 : 38,220.21 = 15,120.30 : x
  2. Step 2: Convert to fraction form
    27,695.28/38,220.21 = 15,120.30/x
  3. Step 3: Cross multiply
    27,695.28x = 38,220.21 × 15,120.30
  4. Step 4: Simplify right side
    27,695.28x = 577,901,041.26
  5. Step 5: Solve for x
    x = 577,901,041.26/27,695.28
  6. Step 6: Final answer
    x = 20,866.41

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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.