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Finding the Fourth Proportional to 27,959.92, 38,584.80 and 16,023.52

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Solution

The fourth proportional to 27,959.92, 38,584.80 and 16,023.52 is: 22,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.92 : 38,584.80 = 16,023.52 : x
  2. Step 2: Convert to fraction form
    27,959.92/38,584.80 = 16,023.52/x
  3. Step 3: Cross multiply
    27,959.92x = 38,584.80 × 16,023.52
  4. Step 4: Simplify right side
    27,959.92x = 618,264,314.50
  5. Step 5: Solve for x
    x = 618,264,314.50/27,959.92
  6. Step 6: Final answer
    x = 22,112.52

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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.