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Finding the Fourth Proportional to 27,541.38, 38,004.12 and 15,604.50

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Solution

The fourth proportional to 27,541.38, 38,004.12 and 15,604.50 is: 21,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.38 : 38,004.12 = 15,604.50 : x
  2. Step 2: Convert to fraction form
    27,541.38/38,004.12 = 15,604.50/x
  3. Step 3: Cross multiply
    27,541.38x = 38,004.12 × 15,604.50
  4. Step 4: Simplify right side
    27,541.38x = 593,035,290.54
  5. Step 5: Solve for x
    x = 593,035,290.54/27,541.38
  6. Step 6: Final answer
    x = 21,532.52

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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.