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Finding the Fourth Proportional to 13,874.09, 20,811.13 and 8,027.51

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Solution

The fourth proportional to 13,874.09, 20,811.13 and 8,027.51 is: 12,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.09 : 20,811.13 = 8,027.51 : x
  2. Step 2: Convert to fraction form
    13,874.09/20,811.13 = 8,027.51/x
  3. Step 3: Cross multiply
    13,874.09x = 20,811.13 × 8,027.51
  4. Step 4: Simplify right side
    13,874.09x = 167,061,430.06
  5. Step 5: Solve for x
    x = 167,061,430.06/13,874.09
  6. Step 6: Final answer
    x = 12,041.26

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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.