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Finding the Fourth Proportional to 22,382.81, 30,887.63 and 12,311.24

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Solution

The fourth proportional to 22,382.81, 30,887.63 and 12,311.24 is: 16,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.81 : 30,887.63 = 12,311.24 : x
  2. Step 2: Convert to fraction form
    22,382.81/30,887.63 = 12,311.24/x
  3. Step 3: Cross multiply
    22,382.81x = 30,887.63 × 12,311.24
  4. Step 4: Simplify right side
    22,382.81x = 380,264,964.41
  5. Step 5: Solve for x
    x = 380,264,964.41/22,382.81
  6. Step 6: Final answer
    x = 16,989.15

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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.