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Finding the Fourth Proportional to 24,825.96, 37,231.04 and 8,182.89

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Solution

The fourth proportional to 24,825.96, 37,231.04 and 8,182.89 is: 12,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.96 : 37,231.04 = 8,182.89 : x
  2. Step 2: Convert to fraction form
    24,825.96/37,231.04 = 8,182.89/x
  3. Step 3: Cross multiply
    24,825.96x = 37,231.04 × 8,182.89
  4. Step 4: Simplify right side
    24,825.96x = 304,657,525.36
  5. Step 5: Solve for x
    x = 304,657,525.36/24,825.96
  6. Step 6: Final answer
    x = 12,271.73

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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.