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Finding the Fourth Proportional to 27,959.82, 38,584.98 and 16,024.20

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Solution

The fourth proportional to 27,959.82, 38,584.98 and 16,024.20 is: 22,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.82 : 38,584.98 = 16,024.20 : x
  2. Step 2: Convert to fraction form
    27,959.82/38,584.98 = 16,024.20/x
  3. Step 3: Cross multiply
    27,959.82x = 38,584.98 × 16,024.20
  4. Step 4: Simplify right side
    27,959.82x = 618,293,436.52
  5. Step 5: Solve for x
    x = 618,293,436.52/27,959.82
  6. Step 6: Final answer
    x = 22,113.64

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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.