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Finding the Fourth Proportional to 17,406.44, 24,020.68 and 9,852.64

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Solution

The fourth proportional to 17,406.44, 24,020.68 and 9,852.64 is: 13,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.44 : 24,020.68 = 9,852.64 : x
  2. Step 2: Convert to fraction form
    17,406.44/24,020.68 = 9,852.64/x
  3. Step 3: Cross multiply
    17,406.44x = 24,020.68 × 9,852.64
  4. Step 4: Simplify right side
    17,406.44x = 236,667,112.60
  5. Step 5: Solve for x
    x = 236,667,112.60/17,406.44
  6. Step 6: Final answer
    x = 13,596.53

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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.