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Finding the Fourth Proportional to 22,311.69, 30,782.10 and 12,744.72

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Solution

The fourth proportional to 22,311.69, 30,782.10 and 12,744.72 is: 17,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.69 : 30,782.10 = 12,744.72 : x
  2. Step 2: Convert to fraction form
    22,311.69/30,782.10 = 12,744.72/x
  3. Step 3: Cross multiply
    22,311.69x = 30,782.10 × 12,744.72
  4. Step 4: Simplify right side
    22,311.69x = 392,309,245.51
  5. Step 5: Solve for x
    x = 392,309,245.51/22,311.69
  6. Step 6: Final answer
    x = 17,583.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.