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Finding the Fourth Proportional to 24,504, 36,753.81 and 7,859.51

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Solution

The fourth proportional to 24,504, 36,753.81 and 7,859.51 is: 11,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504 : 36,753.81 = 7,859.51 : x
  2. Step 2: Convert to fraction form
    24,504/36,753.81 = 7,859.51/x
  3. Step 3: Cross multiply
    24,504x = 36,753.81 × 7,859.51
  4. Step 4: Simplify right side
    24,504x = 288,866,937.23
  5. Step 5: Solve for x
    x = 288,866,937.23/24,504
  6. Step 6: Final answer
    x = 11,788.56

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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.