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Finding the Fourth Proportional to 17,610.12, 24,302.10 and 9,653.04

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Solution

The fourth proportional to 17,610.12, 24,302.10 and 9,653.04 is: 13,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.12 : 24,302.10 = 9,653.04 : x
  2. Step 2: Convert to fraction form
    17,610.12/24,302.10 = 9,653.04/x
  3. Step 3: Cross multiply
    17,610.12x = 24,302.10 × 9,653.04
  4. Step 4: Simplify right side
    17,610.12x = 234,589,143.38
  5. Step 5: Solve for x
    x = 234,589,143.38/17,610.12
  6. Step 6: Final answer
    x = 13,321.27

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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.