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Finding the Fourth Proportional to 22,544.64, 31,083.26 and 14,463.99

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Solution

The fourth proportional to 22,544.64, 31,083.26 and 14,463.99 is: 19,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.64 : 31,083.26 = 14,463.99 : x
  2. Step 2: Convert to fraction form
    22,544.64/31,083.26 = 14,463.99/x
  3. Step 3: Cross multiply
    22,544.64x = 31,083.26 × 14,463.99
  4. Step 4: Simplify right side
    22,544.64x = 449,587,889.49
  5. Step 5: Solve for x
    x = 449,587,889.49/22,544.64
  6. Step 6: Final answer
    x = 19,942.12

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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.