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Finding the Fourth Proportional to 17,205.10, 23,741.61 and 9,650.38

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Solution

The fourth proportional to 17,205.10, 23,741.61 and 9,650.38 is: 13,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.10 : 23,741.61 = 9,650.38 : x
  2. Step 2: Convert to fraction form
    17,205.10/23,741.61 = 9,650.38/x
  3. Step 3: Cross multiply
    17,205.10x = 23,741.61 × 9,650.38
  4. Step 4: Simplify right side
    17,205.10x = 229,115,558.31
  5. Step 5: Solve for x
    x = 229,115,558.31/17,205.10
  6. Step 6: Final answer
    x = 13,316.72

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Why These Related Problems?

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