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Finding the Fourth Proportional to 17,205.12, 23,741.19 and 9,649.89

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Solution

The fourth proportional to 17,205.12, 23,741.19 and 9,649.89 is: 13,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.12 : 23,741.19 = 9,649.89 : x
  2. Step 2: Convert to fraction form
    17,205.12/23,741.19 = 9,649.89/x
  3. Step 3: Cross multiply
    17,205.12x = 23,741.19 × 9,649.89
  4. Step 4: Simplify right side
    17,205.12x = 229,099,871.97
  5. Step 5: Solve for x
    x = 229,099,871.97/17,205.12
  6. Step 6: Final answer
    x = 13,315.80

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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.