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Finding the Fourth Proportional to 27,591.97, 41,412.56 and 12,809.22

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Solution

The fourth proportional to 27,591.97, 41,412.56 and 12,809.22 is: 19,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591.97 : 41,412.56 = 12,809.22 : x
  2. Step 2: Convert to fraction form
    27,591.97/41,412.56 = 12,809.22/x
  3. Step 3: Cross multiply
    27,591.97x = 41,412.56 × 12,809.22
  4. Step 4: Simplify right side
    27,591.97x = 530,462,520.76
  5. Step 5: Solve for x
    x = 530,462,520.76/27,591.97
  6. Step 6: Final answer
    x = 19,225.25

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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.