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Finding the Fourth Proportional to 24,827.46, 37,241.19 and 7,297.30

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Solution

The fourth proportional to 24,827.46, 37,241.19 and 7,297.30 is: 10,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.46 : 37,241.19 = 7,297.30 : x
  2. Step 2: Convert to fraction form
    24,827.46/37,241.19 = 7,297.30/x
  3. Step 3: Cross multiply
    24,827.46x = 37,241.19 × 7,297.30
  4. Step 4: Simplify right side
    24,827.46x = 271,760,135.79
  5. Step 5: Solve for x
    x = 271,760,135.79/24,827.46
  6. Step 6: Final answer
    x = 10,945.95

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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.