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Finding the Fourth Proportional to 27,884.67, 38,479.50 and 15,949.32

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Solution

The fourth proportional to 27,884.67, 38,479.50 and 15,949.32 is: 22,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.67 : 38,479.50 = 15,949.32 : x
  2. Step 2: Convert to fraction form
    27,884.67/38,479.50 = 15,949.32/x
  3. Step 3: Cross multiply
    27,884.67x = 38,479.50 × 15,949.32
  4. Step 4: Simplify right side
    27,884.67x = 613,721,858.94
  5. Step 5: Solve for x
    x = 613,721,858.94/27,884.67
  6. Step 6: Final answer
    x = 22,009.29

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1.5x scale

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.