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Finding the Fourth Proportional to 17,739.41, 24,480.05 and 9,782.37

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Solution

The fourth proportional to 17,739.41, 24,480.05 and 9,782.37 is: 13,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.41 : 24,480.05 = 9,782.37 : x
  2. Step 2: Convert to fraction form
    17,739.41/24,480.05 = 9,782.37/x
  3. Step 3: Cross multiply
    17,739.41x = 24,480.05 × 9,782.37
  4. Step 4: Simplify right side
    17,739.41x = 239,472,857.81
  5. Step 5: Solve for x
    x = 239,472,857.81/17,739.41
  6. Step 6: Final answer
    x = 13,499.49

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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.