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Finding the Fourth Proportional to 20,316.41, 30,478.43 and 9,223.88

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Solution

The fourth proportional to 20,316.41, 30,478.43 and 9,223.88 is: 13,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.41 : 30,478.43 = 9,223.88 : x
  2. Step 2: Convert to fraction form
    20,316.41/30,478.43 = 9,223.88/x
  3. Step 3: Cross multiply
    20,316.41x = 30,478.43 × 9,223.88
  4. Step 4: Simplify right side
    20,316.41x = 281,129,380.91
  5. Step 5: Solve for x
    x = 281,129,380.91/20,316.41
  6. Step 6: Final answer
    x = 13,837.55

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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.