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Finding the Fourth Proportional to 17,716.40, 26,596.20 and 9,825.20

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Solution

The fourth proportional to 17,716.40, 26,596.20 and 9,825.20 is: 14,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.40 : 26,596.20 = 9,825.20 : x
  2. Step 2: Convert to fraction form
    17,716.40/26,596.20 = 9,825.20/x
  3. Step 3: Cross multiply
    17,716.40x = 26,596.20 × 9,825.20
  4. Step 4: Simplify right side
    17,716.40x = 261,312,984.24
  5. Step 5: Solve for x
    x = 261,312,984.24/17,716.40
  6. Step 6: Final answer
    x = 14,749.78

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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.