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Finding the Fourth Proportional to 17,682.90, 24,402.91 and 9,725.64

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Solution

The fourth proportional to 17,682.90, 24,402.91 and 9,725.64 is: 13,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.90 : 24,402.91 = 9,725.64 : x
  2. Step 2: Convert to fraction form
    17,682.90/24,402.91 = 9,725.64/x
  3. Step 3: Cross multiply
    17,682.90x = 24,402.91 × 9,725.64
  4. Step 4: Simplify right side
    17,682.90x = 237,333,819.91
  5. Step 5: Solve for x
    x = 237,333,819.91/17,682.90
  6. Step 6: Final answer
    x = 13,421.66

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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.