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Finding the Fourth Proportional to 22,384.81, 30,891.05 and 12,313.27

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Solution

The fourth proportional to 22,384.81, 30,891.05 and 12,313.27 is: 16,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.81 : 30,891.05 = 12,313.27 : x
  2. Step 2: Convert to fraction form
    22,384.81/30,891.05 = 12,313.27/x
  3. Step 3: Cross multiply
    22,384.81x = 30,891.05 × 12,313.27
  4. Step 4: Simplify right side
    22,384.81x = 380,369,777.67
  5. Step 5: Solve for x
    x = 380,369,777.67/22,384.81
  6. Step 6: Final answer
    x = 16,992.32

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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.