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Finding the Fourth Proportional to 17,682.91, 24,402.80 and 9,725.54

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Solution

The fourth proportional to 17,682.91, 24,402.80 and 9,725.54 is: 13,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.91 : 24,402.80 = 9,725.54 : x
  2. Step 2: Convert to fraction form
    17,682.91/24,402.80 = 9,725.54/x
  3. Step 3: Cross multiply
    17,682.91x = 24,402.80 × 9,725.54
  4. Step 4: Simplify right side
    17,682.91x = 237,330,309.81
  5. Step 5: Solve for x
    x = 237,330,309.81/17,682.91
  6. Step 6: Final answer
    x = 13,421.45

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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.