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Finding the Fourth Proportional to 27,884.34, 41,804.64 and 13,085.64

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Solution

The fourth proportional to 27,884.34, 41,804.64 and 13,085.64 is: 19,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.34 : 41,804.64 = 13,085.64 : x
  2. Step 2: Convert to fraction form
    27,884.34/41,804.64 = 13,085.64/x
  3. Step 3: Cross multiply
    27,884.34x = 41,804.64 × 13,085.64
  4. Step 4: Simplify right side
    27,884.34x = 547,040,469.37
  5. Step 5: Solve for x
    x = 547,040,469.37/27,884.34
  6. Step 6: Final answer
    x = 19,618.20

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1.5x scale

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.