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Finding the Fourth Proportional to 24,181.84, 36,265.08 and 7,762

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Solution

The fourth proportional to 24,181.84, 36,265.08 and 7,762 is: 11,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.84 : 36,265.08 = 7,762 : x
  2. Step 2: Convert to fraction form
    24,181.84/36,265.08 = 7,762/x
  3. Step 3: Cross multiply
    24,181.84x = 36,265.08 × 7,762
  4. Step 4: Simplify right side
    24,181.84x = 281,489,550.96
  5. Step 5: Solve for x
    x = 281,489,550.96/24,181.84
  6. Step 6: Final answer
    x = 11,640.53

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Why These Related Problems?

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