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Finding the Fourth Proportional to 20,317.68, 30,452.16 and 10,461.60

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Solution

The fourth proportional to 20,317.68, 30,452.16 and 10,461.60 is: 15,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.68 : 30,452.16 = 10,461.60 : x
  2. Step 2: Convert to fraction form
    20,317.68/30,452.16 = 10,461.60/x
  3. Step 3: Cross multiply
    20,317.68x = 30,452.16 × 10,461.60
  4. Step 4: Simplify right side
    20,317.68x = 318,578,317.06
  5. Step 5: Solve for x
    x = 318,578,317.06/20,317.68
  6. Step 6: Final answer
    x = 15,679.86

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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.