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Finding the Fourth Proportional to 17,765.20, 26,664.16 and 9,006.24

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Solution

The fourth proportional to 17,765.20, 26,664.16 and 9,006.24 is: 13,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.20 : 26,664.16 = 9,006.24 : x
  2. Step 2: Convert to fraction form
    17,765.20/26,664.16 = 9,006.24/x
  3. Step 3: Cross multiply
    17,765.20x = 26,664.16 × 9,006.24
  4. Step 4: Simplify right side
    17,765.20x = 240,143,824.36
  5. Step 5: Solve for x
    x = 240,143,824.36/17,765.20
  6. Step 6: Final answer
    x = 13,517.65

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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.