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Finding the Fourth Proportional to 17,390.42, 23,993.24 and 9,835.82

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Solution

The fourth proportional to 17,390.42, 23,993.24 and 9,835.82 is: 13,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,390.42 : 23,993.24 = 9,835.82 : x
  2. Step 2: Convert to fraction form
    17,390.42/23,993.24 = 9,835.82/x
  3. Step 3: Cross multiply
    17,390.42x = 23,993.24 × 9,835.82
  4. Step 4: Simplify right side
    17,390.42x = 235,993,189.86
  5. Step 5: Solve for x
    x = 235,993,189.86/17,390.42
  6. Step 6: Final answer
    x = 13,570.30

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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.