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Finding the Fourth Proportional to 22,551.44, 31,121.28 and 14,057

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Solution

The fourth proportional to 22,551.44, 31,121.28 and 14,057 is: 19,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.44 : 31,121.28 = 14,057 : x
  2. Step 2: Convert to fraction form
    22,551.44/31,121.28 = 14,057/x
  3. Step 3: Cross multiply
    22,551.44x = 31,121.28 × 14,057
  4. Step 4: Simplify right side
    22,551.44x = 437,471,832.96
  5. Step 5: Solve for x
    x = 437,471,832.96/22,551.44
  6. Step 6: Final answer
    x = 19,398.84

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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.