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Finding the Fourth Proportional to 22,232.81, 30,682.13 and 12,674.21

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Solution

The fourth proportional to 22,232.81, 30,682.13 and 12,674.21 is: 17,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.81 : 30,682.13 = 12,674.21 : x
  2. Step 2: Convert to fraction form
    22,232.81/30,682.13 = 12,674.21/x
  3. Step 3: Cross multiply
    22,232.81x = 30,682.13 × 12,674.21
  4. Step 4: Simplify right side
    22,232.81x = 388,871,542.09
  5. Step 5: Solve for x
    x = 388,871,542.09/22,232.81
  6. Step 6: Final answer
    x = 17,490.88

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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.