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Finding the Fourth Proportional to 26,808.52, 40,226.19 and 12,028

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Solution

The fourth proportional to 26,808.52, 40,226.19 and 12,028 is: 18,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,808.52 : 40,226.19 = 12,028 : x
  2. Step 2: Convert to fraction form
    26,808.52/40,226.19 = 12,028/x
  3. Step 3: Cross multiply
    26,808.52x = 40,226.19 × 12,028
  4. Step 4: Simplify right side
    26,808.52x = 483,840,613.32
  5. Step 5: Solve for x
    x = 483,840,613.32/26,808.52
  6. Step 6: Final answer
    x = 18,048.02

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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.