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Finding the Fourth Proportional to 22,946.94, 31,674.68 and 14,463.37

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Solution

The fourth proportional to 22,946.94, 31,674.68 and 14,463.37 is: 19,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.94 : 31,674.68 = 14,463.37 : x
  2. Step 2: Convert to fraction form
    22,946.94/31,674.68 = 14,463.37/x
  3. Step 3: Cross multiply
    22,946.94x = 31,674.68 × 14,463.37
  4. Step 4: Simplify right side
    22,946.94x = 458,122,637.99
  5. Step 5: Solve for x
    x = 458,122,637.99/22,946.94
  6. Step 6: Final answer
    x = 19,964.43

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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.