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Finding the Fourth Proportional to 27,884.52, 41,827.32 and 11,017.08

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Solution

The fourth proportional to 27,884.52, 41,827.32 and 11,017.08 is: 16,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.52 : 41,827.32 = 11,017.08 : x
  2. Step 2: Convert to fraction form
    27,884.52/41,827.32 = 11,017.08/x
  3. Step 3: Cross multiply
    27,884.52x = 41,827.32 × 11,017.08
  4. Step 4: Simplify right side
    27,884.52x = 460,814,930.63
  5. Step 5: Solve for x
    x = 460,814,930.63/27,884.52
  6. Step 6: Final answer
    x = 16,525.83

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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.