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Finding the Fourth Proportional to 27,685.45, 38,205.95 and 15,110.20

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Solution

The fourth proportional to 27,685.45, 38,205.95 and 15,110.20 is: 20,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.45 : 38,205.95 = 15,110.20 : x
  2. Step 2: Convert to fraction form
    27,685.45/38,205.95 = 15,110.20/x
  3. Step 3: Cross multiply
    27,685.45x = 38,205.95 × 15,110.20
  4. Step 4: Simplify right side
    27,685.45x = 577,299,279.11
  5. Step 5: Solve for x
    x = 577,299,279.11/27,685.45
  6. Step 6: Final answer
    x = 20,852.09

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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.