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Finding the Fourth Proportional to 22,840.81, 31,520.19 and 12,769.27

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Solution

The fourth proportional to 22,840.81, 31,520.19 and 12,769.27 is: 17,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.81 : 31,520.19 = 12,769.27 : x
  2. Step 2: Convert to fraction form
    22,840.81/31,520.19 = 12,769.27/x
  3. Step 3: Cross multiply
    22,840.81x = 31,520.19 × 12,769.27
  4. Step 4: Simplify right side
    22,840.81x = 402,489,816.56
  5. Step 5: Solve for x
    x = 402,489,816.56/22,840.81
  6. Step 6: Final answer
    x = 17,621.52

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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.