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Finding the Fourth Proportional to 11,524.20, 17,247.42 and 9,580.20

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Solution

The fourth proportional to 11,524.20, 17,247.42 and 9,580.20 is: 14,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.20 : 17,247.42 = 9,580.20 : x
  2. Step 2: Convert to fraction form
    11,524.20/17,247.42 = 9,580.20/x
  3. Step 3: Cross multiply
    11,524.20x = 17,247.42 × 9,580.20
  4. Step 4: Simplify right side
    11,524.20x = 165,233,733.08
  5. Step 5: Solve for x
    x = 165,233,733.08/11,524.20
  6. Step 6: Final answer
    x = 14,337.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.