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Finding the Fourth Proportional to 20,315.29, 30,476.74 and 9,222.75

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Solution

The fourth proportional to 20,315.29, 30,476.74 and 9,222.75 is: 13,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.29 : 30,476.74 = 9,222.75 : x
  2. Step 2: Convert to fraction form
    20,315.29/30,476.74 = 9,222.75/x
  3. Step 3: Cross multiply
    20,315.29x = 30,476.74 × 9,222.75
  4. Step 4: Simplify right side
    20,315.29x = 281,079,353.84
  5. Step 5: Solve for x
    x = 281,079,353.84/20,315.29
  6. Step 6: Final answer
    x = 13,835.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.