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Finding the Fourth Proportional to 24,825.72, 37,241.01 and 8,178.96

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Solution

The fourth proportional to 24,825.72, 37,241.01 and 8,178.96 is: 12,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.72 : 37,241.01 = 8,178.96 : x
  2. Step 2: Convert to fraction form
    24,825.72/37,241.01 = 8,178.96/x
  3. Step 3: Cross multiply
    24,825.72x = 37,241.01 × 8,178.96
  4. Step 4: Simplify right side
    24,825.72x = 304,592,731.15
  5. Step 5: Solve for x
    x = 304,592,731.15/24,825.72
  6. Step 6: Final answer
    x = 12,269.24

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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.