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Finding the Fourth Proportional to 18,525.86, 27,776.94 and 8,002.74

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Solution

The fourth proportional to 18,525.86, 27,776.94 and 8,002.74 is: 11,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.86 : 27,776.94 = 8,002.74 : x
  2. Step 2: Convert to fraction form
    18,525.86/27,776.94 = 8,002.74/x
  3. Step 3: Cross multiply
    18,525.86x = 27,776.94 × 8,002.74
  4. Step 4: Simplify right side
    18,525.86x = 222,291,628.82
  5. Step 5: Solve for x
    x = 222,291,628.82/18,525.86
  6. Step 6: Final answer
    x = 11,998.99

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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.