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Finding the Fourth Proportional to 26,974.80, 40,429.80 and 13,820.40

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Solution

The fourth proportional to 26,974.80, 40,429.80 and 13,820.40 is: 20,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.80 : 40,429.80 = 13,820.40 : x
  2. Step 2: Convert to fraction form
    26,974.80/40,429.80 = 13,820.40/x
  3. Step 3: Cross multiply
    26,974.80x = 40,429.80 × 13,820.40
  4. Step 4: Simplify right side
    26,974.80x = 558,756,007.92
  5. Step 5: Solve for x
    x = 558,756,007.92/26,974.80
  6. Step 6: Final answer
    x = 20,714.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.