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Finding the Fourth Proportional to 27,884.57, 38,479.38 and 15,137.46

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Solution

The fourth proportional to 27,884.57, 38,479.38 and 15,137.46 is: 20,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.57 : 38,479.38 = 15,137.46 : x
  2. Step 2: Convert to fraction form
    27,884.57/38,479.38 = 15,137.46/x
  3. Step 3: Cross multiply
    27,884.57x = 38,479.38 × 15,137.46
  4. Step 4: Simplify right side
    27,884.57x = 582,480,075.57
  5. Step 5: Solve for x
    x = 582,480,075.57/27,884.57
  6. Step 6: Final answer
    x = 20,888.98

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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.