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Finding the Fourth Proportional to 17,682.45, 24,402.29 and 9,725.19

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Solution

The fourth proportional to 17,682.45, 24,402.29 and 9,725.19 is: 13,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.45 : 24,402.29 = 9,725.19 : x
  2. Step 2: Convert to fraction form
    17,682.45/24,402.29 = 9,725.19/x
  3. Step 3: Cross multiply
    17,682.45x = 24,402.29 × 9,725.19
  4. Step 4: Simplify right side
    17,682.45x = 237,316,906.69
  5. Step 5: Solve for x
    x = 237,316,906.69/17,682.45
  6. Step 6: Final answer
    x = 13,421.04

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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.