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Finding the Fourth Proportional to 22,796.53, 31,459.74 and 14,299.01

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Solution

The fourth proportional to 22,796.53, 31,459.74 and 14,299.01 is: 19,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.53 : 31,459.74 = 14,299.01 : x
  2. Step 2: Convert to fraction form
    22,796.53/31,459.74 = 14,299.01/x
  3. Step 3: Cross multiply
    22,796.53x = 31,459.74 × 14,299.01
  4. Step 4: Simplify right side
    22,796.53x = 449,843,040.39
  5. Step 5: Solve for x
    x = 449,843,040.39/22,796.53
  6. Step 6: Final answer
    x = 19,732.96

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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.