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Finding the Fourth Proportional to 11,825.89, 17,740.65 and 4,032.88

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Solution

The fourth proportional to 11,825.89, 17,740.65 and 4,032.88 is: 6,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.89 : 17,740.65 = 4,032.88 : x
  2. Step 2: Convert to fraction form
    11,825.89/17,740.65 = 4,032.88/x
  3. Step 3: Cross multiply
    11,825.89x = 17,740.65 × 4,032.88
  4. Step 4: Simplify right side
    11,825.89x = 71,545,823.87
  5. Step 5: Solve for x
    x = 71,545,823.87/11,825.89
  6. Step 6: Final answer
    x = 6,049.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.