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Finding the Fourth Proportional to 20,315.25, 30,476.70 and 9,222.72

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Solution

The fourth proportional to 20,315.25, 30,476.70 and 9,222.72 is: 13,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.25 : 30,476.70 = 9,222.72 : x
  2. Step 2: Convert to fraction form
    20,315.25/30,476.70 = 9,222.72/x
  3. Step 3: Cross multiply
    20,315.25x = 30,476.70 × 9,222.72
  4. Step 4: Simplify right side
    20,315.25x = 281,078,070.62
  5. Step 5: Solve for x
    x = 281,078,070.62/20,315.25
  6. Step 6: Final answer
    x = 13,835.82

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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.