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Finding the Fourth Proportional to 12,524.86, 18,792.17 and 4,734.28

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Solution

The fourth proportional to 12,524.86, 18,792.17 and 4,734.28 is: 7,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.86 : 18,792.17 = 4,734.28 : x
  2. Step 2: Convert to fraction form
    12,524.86/18,792.17 = 4,734.28/x
  3. Step 3: Cross multiply
    12,524.86x = 18,792.17 × 4,734.28
  4. Step 4: Simplify right side
    12,524.86x = 88,967,412.16
  5. Step 5: Solve for x
    x = 88,967,412.16/12,524.86
  6. Step 6: Final answer
    x = 7,103.27

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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.