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Finding the Fourth Proportional to 17,720.37, 24,453.19 and 9,762.42

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Solution

The fourth proportional to 17,720.37, 24,453.19 and 9,762.42 is: 13,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.37 : 24,453.19 = 9,762.42 : x
  2. Step 2: Convert to fraction form
    17,720.37/24,453.19 = 9,762.42/x
  3. Step 3: Cross multiply
    17,720.37x = 24,453.19 × 9,762.42
  4. Step 4: Simplify right side
    17,720.37x = 238,722,311.12
  5. Step 5: Solve for x
    x = 238,722,311.12/17,720.37
  6. Step 6: Final answer
    x = 13,471.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.