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Finding the Fourth Proportional to 14,949.92, 20,638.74 and 10,194.92

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Solution

The fourth proportional to 14,949.92, 20,638.74 and 10,194.92 is: 14,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.92 : 20,638.74 = 10,194.92 : x
  2. Step 2: Convert to fraction form
    14,949.92/20,638.74 = 10,194.92/x
  3. Step 3: Cross multiply
    14,949.92x = 20,638.74 × 10,194.92
  4. Step 4: Simplify right side
    14,949.92x = 210,410,303.20
  5. Step 5: Solve for x
    x = 210,410,303.20/14,949.92
  6. Step 6: Final answer
    x = 14,074.34

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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.