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Finding the Fourth Proportional to 14,818.92, 20,434.50 and 9,220.20

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Solution

The fourth proportional to 14,818.92, 20,434.50 and 9,220.20 is: 12,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,818.92 : 20,434.50 = 9,220.20 : x
  2. Step 2: Convert to fraction form
    14,818.92/20,434.50 = 9,220.20/x
  3. Step 3: Cross multiply
    14,818.92x = 20,434.50 × 9,220.20
  4. Step 4: Simplify right side
    14,818.92x = 188,410,176.90
  5. Step 5: Solve for x
    x = 188,410,176.90/14,818.92
  6. Step 6: Final answer
    x = 12,714.16

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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.