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Finding the Fourth Proportional to 22,896.30, 31,597.21 and 14,933.96

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Solution

The fourth proportional to 22,896.30, 31,597.21 and 14,933.96 is: 20,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.30 : 31,597.21 = 14,933.96 : x
  2. Step 2: Convert to fraction form
    22,896.30/31,597.21 = 14,933.96/x
  3. Step 3: Cross multiply
    22,896.30x = 31,597.21 × 14,933.96
  4. Step 4: Simplify right side
    22,896.30x = 471,871,470.25
  5. Step 5: Solve for x
    x = 471,871,470.25/22,896.30
  6. Step 6: Final answer
    x = 20,609.07

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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.