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Finding the Fourth Proportional to 20,475.96, 30,688.02 and 8,775.24

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Solution

The fourth proportional to 20,475.96, 30,688.02 and 8,775.24 is: 13,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.96 : 30,688.02 = 8,775.24 : x
  2. Step 2: Convert to fraction form
    20,475.96/30,688.02 = 8,775.24/x
  3. Step 3: Cross multiply
    20,475.96x = 30,688.02 × 8,775.24
  4. Step 4: Simplify right side
    20,475.96x = 269,294,740.62
  5. Step 5: Solve for x
    x = 269,294,740.62/20,475.96
  6. Step 6: Final answer
    x = 13,151.75

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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.