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Finding the Fourth Proportional to 27,604.24, 38,111.16 and 18,188.80

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Solution

The fourth proportional to 27,604.24, 38,111.16 and 18,188.80 is: 25,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.24 : 38,111.16 = 18,188.80 : x
  2. Step 2: Convert to fraction form
    27,604.24/38,111.16 = 18,188.80/x
  3. Step 3: Cross multiply
    27,604.24x = 38,111.16 × 18,188.80
  4. Step 4: Simplify right side
    27,604.24x = 693,196,267.01
  5. Step 5: Solve for x
    x = 693,196,267.01/27,604.24
  6. Step 6: Final answer
    x = 25,111.95

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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.