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Finding the Fourth Proportional to 24,441.54, 36,644.36 and 7,792

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Solution

The fourth proportional to 24,441.54, 36,644.36 and 7,792 is: 11,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.54 : 36,644.36 = 7,792 : x
  2. Step 2: Convert to fraction form
    24,441.54/36,644.36 = 7,792/x
  3. Step 3: Cross multiply
    24,441.54x = 36,644.36 × 7,792
  4. Step 4: Simplify right side
    24,441.54x = 285,532,853.12
  5. Step 5: Solve for x
    x = 285,532,853.12/24,441.54
  6. Step 6: Final answer
    x = 11,682.28

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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.