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Finding the Fourth Proportional to 11,809.80, 17,824.05 and 11,809.80

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Solution

The fourth proportional to 11,809.80, 17,824.05 and 11,809.80 is: 17,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 17,824.05 = 11,809.80 : x
  2. Step 2: Convert to fraction form
    11,809.80/17,824.05 = 11,809.80/x
  3. Step 3: Cross multiply
    11,809.80x = 17,824.05 × 11,809.80
  4. Step 4: Simplify right side
    11,809.80x = 210,498,465.69
  5. Step 5: Solve for x
    x = 210,498,465.69/11,809.80
  6. Step 6: Final answer
    x = 17,824.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.