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Finding the Fourth Proportional to 27,884.52, 41,820.84 and 13,100.40

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Solution

The fourth proportional to 27,884.52, 41,820.84 and 13,100.40 is: 19,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.52 : 41,820.84 = 13,100.40 : x
  2. Step 2: Convert to fraction form
    27,884.52/41,820.84 = 13,100.40/x
  3. Step 3: Cross multiply
    27,884.52x = 41,820.84 × 13,100.40
  4. Step 4: Simplify right side
    27,884.52x = 547,869,732.34
  5. Step 5: Solve for x
    x = 547,869,732.34/27,884.52
  6. Step 6: Final answer
    x = 19,647.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.