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Finding the Fourth Proportional to 20,157.67, 30,211.43 and 10,774.53

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Solution

The fourth proportional to 20,157.67, 30,211.43 and 10,774.53 is: 16,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.67 : 30,211.43 = 10,774.53 : x
  2. Step 2: Convert to fraction form
    20,157.67/30,211.43 = 10,774.53/x
  3. Step 3: Cross multiply
    20,157.67x = 30,211.43 × 10,774.53
  4. Step 4: Simplify right side
    20,157.67x = 325,513,807.82
  5. Step 5: Solve for x
    x = 325,513,807.82/20,157.67
  6. Step 6: Final answer
    x = 16,148.39

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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.